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Finding the Fourth Proportional to 539.71, 813.89 and 532.42

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Solution

The fourth proportional to 539.71, 813.89 and 532.42 is: 802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.71 : 813.89 = 532.42 : x
  2. Step 2: Convert to fraction form
    539.71/813.89 = 532.42/x
  3. Step 3: Cross multiply
    539.71x = 813.89 × 532.42
  4. Step 4: Simplify right side
    539.71x = 433,331.31
  5. Step 5: Solve for x
    x = 433,331.31/539.71
  6. Step 6: Final answer
    x = 802.90

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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.