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Finding the Fourth Proportional to 500.66, 747.95 and 418.65

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Solution

The fourth proportional to 500.66, 747.95 and 418.65 is: 625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.66 : 747.95 = 418.65 : x
  2. Step 2: Convert to fraction form
    500.66/747.95 = 418.65/x
  3. Step 3: Cross multiply
    500.66x = 747.95 × 418.65
  4. Step 4: Simplify right side
    500.66x = 313,123.43
  5. Step 5: Solve for x
    x = 313,123.43/500.66
  6. Step 6: Final answer
    x = 625.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.