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Finding the Fourth Proportional to 625.38, 863.09 and 392.50

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Solution

The fourth proportional to 625.38, 863.09 and 392.50 is: 541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.38 : 863.09 = 392.50 : x
  2. Step 2: Convert to fraction form
    625.38/863.09 = 392.50/x
  3. Step 3: Cross multiply
    625.38x = 863.09 × 392.50
  4. Step 4: Simplify right side
    625.38x = 338,762.83
  5. Step 5: Solve for x
    x = 338,762.83/625.38
  6. Step 6: Final answer
    x = 541.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.