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Finding the Fourth Proportional to 575.92, 868.71 and 542.24

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Solution

The fourth proportional to 575.92, 868.71 and 542.24 is: 817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 868.71 = 542.24 : x
  2. Step 2: Convert to fraction form
    575.92/868.71 = 542.24/x
  3. Step 3: Cross multiply
    575.92x = 868.71 × 542.24
  4. Step 4: Simplify right side
    575.92x = 471,044.97
  5. Step 5: Solve for x
    x = 471,044.97/575.92
  6. Step 6: Final answer
    x = 817.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.