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Percent Proportions

Discover how to effectively use percent proportions to solve problems involving missing percentages. This guide covers essential vocabulary including ratios, proportions, and the cross-product method. We'll walk through several examples, such as finding a given percentage of a number and determining what percentage a number is of another. Learn the systematic steps of cross-multiplying and dividing to find answers. Practice problems are included to help reinforce your understanding. Prepare to enhance your mathematical skills in dealing with percent proportions!

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Percent Proportions

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Presentation Transcript

  1. Percent Proportions Using Proportions 4-1

  2. Vocabulary Review Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When two ratios are equal to each other Cross Product(s): When we cross multiply/compare diagonally, the special relationship between two ratios in a proportion

  3. Percent Proportions Proportions can be used to solve missing percentages of a number… “is #” = given/missing % “of #” 100%

  4. Percent Proportions We use the same steps to solve… Cross multiply Cross multiply Divide to solve Ex. Find 30% of 24. Is # = Of # = Given/missing % = Write out proportion… x = 30% 24 100% *Round answer to nearest tenth of percent! Ex. What percent is 20 of 210? Is # = Of # = Given/missing % = Write out proportion… = 100% *Round answer to nearest tenth of percent!

  5. Percent Proportions Ex. What is 33 1/3% of 150? x = 33.3% 150 100% Ex. 5 is 80% of what number? 5 = 80% x 100%

  6. Practice • 6% of what number is 2.46 • What percent of 72 is 27? • Find 72% of 310.

  7. Homework p. 161 #9-20 all (Calculator okay!) Show set up/process/work

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