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Finding the Fourth Proportional to 447.32, 667.74 and 415.28

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Solution

The fourth proportional to 447.32, 667.74 and 415.28 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.32 : 667.74 = 415.28 : x
  2. Step 2: Convert to fraction form
    447.32/667.74 = 415.28/x
  3. Step 3: Cross multiply
    447.32x = 667.74 × 415.28
  4. Step 4: Simplify right side
    447.32x = 277,295.73
  5. Step 5: Solve for x
    x = 277,295.73/447.32
  6. Step 6: Final answer
    x = 619.91

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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.