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Finding the Fourth Proportional to 932.72, 1,398.67 and 542.90

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Solution

The fourth proportional to 932.72, 1,398.67 and 542.90 is: 814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.72 : 1,398.67 = 542.90 : x
  2. Step 2: Convert to fraction form
    932.72/1,398.67 = 542.90/x
  3. Step 3: Cross multiply
    932.72x = 1,398.67 × 542.90
  4. Step 4: Simplify right side
    932.72x = 759,340.08
  5. Step 5: Solve for x
    x = 759,340.08/932.72
  6. Step 6: Final answer
    x = 814.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.