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Finding the Fourth Proportional to 486.75, 726.17 and 447.11

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Solution

The fourth proportional to 486.75, 726.17 and 447.11 is: 667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.75 : 726.17 = 447.11 : x
  2. Step 2: Convert to fraction form
    486.75/726.17 = 447.11/x
  3. Step 3: Cross multiply
    486.75x = 726.17 × 447.11
  4. Step 4: Simplify right side
    486.75x = 324,677.87
  5. Step 5: Solve for x
    x = 324,677.87/486.75
  6. Step 6: Final answer
    x = 667.03

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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.