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Finding the Fourth Proportional to 732.23, 1,010.84 and 497.42

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Solution

The fourth proportional to 732.23, 1,010.84 and 497.42 is: 686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.23 : 1,010.84 = 497.42 : x
  2. Step 2: Convert to fraction form
    732.23/1,010.84 = 497.42/x
  3. Step 3: Cross multiply
    732.23x = 1,010.84 × 497.42
  4. Step 4: Simplify right side
    732.23x = 502,812.03
  5. Step 5: Solve for x
    x = 502,812.03/732.23
  6. Step 6: Final answer
    x = 686.69

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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.