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Finding the Fourth Proportional to 961.97, 1,327.47 and 542.42

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Solution

The fourth proportional to 961.97, 1,327.47 and 542.42 is: 748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.97 : 1,327.47 = 542.42 : x
  2. Step 2: Convert to fraction form
    961.97/1,327.47 = 542.42/x
  3. Step 3: Cross multiply
    961.97x = 1,327.47 × 542.42
  4. Step 4: Simplify right side
    961.97x = 720,046.28
  5. Step 5: Solve for x
    x = 720,046.28/961.97
  6. Step 6: Final answer
    x = 748.51

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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.