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Finding the Fourth Proportional to 625.46, 938.25 and 365.85

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Solution

The fourth proportional to 625.46, 938.25 and 365.85 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.46 : 938.25 = 365.85 : x
  2. Step 2: Convert to fraction form
    625.46/938.25 = 365.85/x
  3. Step 3: Cross multiply
    625.46x = 938.25 × 365.85
  4. Step 4: Simplify right side
    625.46x = 343,258.76
  5. Step 5: Solve for x
    x = 343,258.76/625.46
  6. Step 6: Final answer
    x = 548.81

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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.