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Finding the Fourth Proportional to 625.78, 938.72 and 163.55

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Solution

The fourth proportional to 625.78, 938.72 and 163.55 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.78 : 938.72 = 163.55 : x
  2. Step 2: Convert to fraction form
    625.78/938.72 = 163.55/x
  3. Step 3: Cross multiply
    625.78x = 938.72 × 163.55
  4. Step 4: Simplify right side
    625.78x = 153,527.66
  5. Step 5: Solve for x
    x = 153,527.66/625.78
  6. Step 6: Final answer
    x = 245.34

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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.