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Finding the Fourth Proportional to 447.75, 667.76 and 416.97

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Solution

The fourth proportional to 447.75, 667.76 and 416.97 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.75 : 667.76 = 416.97 : x
  2. Step 2: Convert to fraction form
    447.75/667.76 = 416.97/x
  3. Step 3: Cross multiply
    447.75x = 667.76 × 416.97
  4. Step 4: Simplify right side
    447.75x = 278,433.80
  5. Step 5: Solve for x
    x = 278,433.80/447.75
  6. Step 6: Final answer
    x = 621.85

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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.