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Finding the Fourth Proportional to 447.32, 667.31 and 434.76

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Solution

The fourth proportional to 447.32, 667.31 and 434.76 is: 648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.32 : 667.31 = 434.76 : x
  2. Step 2: Convert to fraction form
    447.32/667.31 = 434.76/x
  3. Step 3: Cross multiply
    447.32x = 667.31 × 434.76
  4. Step 4: Simplify right side
    447.32x = 290,119.70
  5. Step 5: Solve for x
    x = 290,119.70/447.32
  6. Step 6: Final answer
    x = 648.57

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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.