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Finding the Fourth Proportional to 625.81, 938.19 and 540.16

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Solution

The fourth proportional to 625.81, 938.19 and 540.16 is: 809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.81 : 938.19 = 540.16 : x
  2. Step 2: Convert to fraction form
    625.81/938.19 = 540.16/x
  3. Step 3: Cross multiply
    625.81x = 938.19 × 540.16
  4. Step 4: Simplify right side
    625.81x = 506,772.71
  5. Step 5: Solve for x
    x = 506,772.71/625.81
  6. Step 6: Final answer
    x = 809.79

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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.