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Finding the Fourth Proportional to 625.79, 938.72 and 409.25

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Solution

The fourth proportional to 625.79, 938.72 and 409.25 is: 613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.79 : 938.72 = 409.25 : x
  2. Step 2: Convert to fraction form
    625.79/938.72 = 409.25/x
  3. Step 3: Cross multiply
    625.79x = 938.72 × 409.25
  4. Step 4: Simplify right side
    625.79x = 384,174.53
  5. Step 5: Solve for x
    x = 384,174.53/625.79
  6. Step 6: Final answer
    x = 613.90

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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.