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Finding the Fourth Proportional to 532.92, 801.20 and 492.82

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Solution

The fourth proportional to 532.92, 801.20 and 492.82 is: 740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.92 : 801.20 = 492.82 : x
  2. Step 2: Convert to fraction form
    532.92/801.20 = 492.82/x
  3. Step 3: Cross multiply
    532.92x = 801.20 × 492.82
  4. Step 4: Simplify right side
    532.92x = 394,847.38
  5. Step 5: Solve for x
    x = 394,847.38/532.92
  6. Step 6: Final answer
    x = 740.91

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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.