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Finding the Fourth Proportional to 614.70, 845.78 and 531.54

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Solution

The fourth proportional to 614.70, 845.78 and 531.54 is: 731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.70 : 845.78 = 531.54 : x
  2. Step 2: Convert to fraction form
    614.70/845.78 = 531.54/x
  3. Step 3: Cross multiply
    614.70x = 845.78 × 531.54
  4. Step 4: Simplify right side
    614.70x = 449,565.90
  5. Step 5: Solve for x
    x = 449,565.90/614.70
  6. Step 6: Final answer
    x = 731.36

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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.