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Finding the Fourth Proportional to 625.31, 936.92 and 509.81

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Solution

The fourth proportional to 625.31, 936.92 and 509.81 is: 763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.31 : 936.92 = 509.81 : x
  2. Step 2: Convert to fraction form
    625.31/936.92 = 509.81/x
  3. Step 3: Cross multiply
    625.31x = 936.92 × 509.81
  4. Step 4: Simplify right side
    625.31x = 477,654.80
  5. Step 5: Solve for x
    x = 477,654.80/625.31
  6. Step 6: Final answer
    x = 763.87

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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.