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Finding the Fourth Proportional to 542.92, 748.65 and 531.53

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Solution

The fourth proportional to 542.92, 748.65 and 531.53 is: 732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.92 : 748.65 = 531.53 : x
  2. Step 2: Convert to fraction form
    542.92/748.65 = 531.53/x
  3. Step 3: Cross multiply
    542.92x = 748.65 × 531.53
  4. Step 4: Simplify right side
    542.92x = 397,929.27
  5. Step 5: Solve for x
    x = 397,929.27/542.92
  6. Step 6: Final answer
    x = 732.94

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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.