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Finding the Fourth Proportional to 614.52, 925.95 and 508.68

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Solution

The fourth proportional to 614.52, 925.95 and 508.68 is: 766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 925.95 = 508.68 : x
  2. Step 2: Convert to fraction form
    614.52/925.95 = 508.68/x
  3. Step 3: Cross multiply
    614.52x = 925.95 × 508.68
  4. Step 4: Simplify right side
    614.52x = 471,012.25
  5. Step 5: Solve for x
    x = 471,012.25/614.52
  6. Step 6: Final answer
    x = 766.47

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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.