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Finding the Fourth Proportional to 447.64, 667.12 and 436.71

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Solution

The fourth proportional to 447.64, 667.12 and 436.71 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.64 : 667.12 = 436.71 : x
  2. Step 2: Convert to fraction form
    447.64/667.12 = 436.71/x
  3. Step 3: Cross multiply
    447.64x = 667.12 × 436.71
  4. Step 4: Simplify right side
    447.64x = 291,337.98
  5. Step 5: Solve for x
    x = 291,337.98/447.64
  6. Step 6: Final answer
    x = 650.83

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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.