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Finding the Fourth Proportional to 447.50, 667.38 and 416.72

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Solution

The fourth proportional to 447.50, 667.38 and 416.72 is: 621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 667.38 = 416.72 : x
  2. Step 2: Convert to fraction form
    447.50/667.38 = 416.72/x
  3. Step 3: Cross multiply
    447.50x = 667.38 × 416.72
  4. Step 4: Simplify right side
    447.50x = 278,110.59
  5. Step 5: Solve for x
    x = 278,110.59/447.50
  6. Step 6: Final answer
    x = 621.48

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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.