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Finding the Fourth Proportional to 614.52, 925.41 and 517.86

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Solution

The fourth proportional to 614.52, 925.41 and 517.86 is: 779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 925.41 = 517.86 : x
  2. Step 2: Convert to fraction form
    614.52/925.41 = 517.86/x
  3. Step 3: Cross multiply
    614.52x = 925.41 × 517.86
  4. Step 4: Simplify right side
    614.52x = 479,232.82
  5. Step 5: Solve for x
    x = 479,232.82/614.52
  6. Step 6: Final answer
    x = 779.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.