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Finding the Fourth Proportional to 772.13, 1,066.46 and 523.02

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Solution

The fourth proportional to 772.13, 1,066.46 and 523.02 is: 722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.13 : 1,066.46 = 523.02 : x
  2. Step 2: Convert to fraction form
    772.13/1,066.46 = 523.02/x
  3. Step 3: Cross multiply
    772.13x = 1,066.46 × 523.02
  4. Step 4: Simplify right side
    772.13x = 557,779.91
  5. Step 5: Solve for x
    x = 557,779.91/772.13
  6. Step 6: Final answer
    x = 722.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.