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Finding the Fourth Proportional to 731.91, 1,010.42 and 497.10

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Solution

The fourth proportional to 731.91, 1,010.42 and 497.10 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.91 : 1,010.42 = 497.10 : x
  2. Step 2: Convert to fraction form
    731.91/1,010.42 = 497.10/x
  3. Step 3: Cross multiply
    731.91x = 1,010.42 × 497.10
  4. Step 4: Simplify right side
    731.91x = 502,277.30
  5. Step 5: Solve for x
    x = 502,277.30/731.91
  6. Step 6: Final answer
    x = 686.26

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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.