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Finding the Fourth Proportional to 447.56, 668.13 and 432.36

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Solution

The fourth proportional to 447.56, 668.13 and 432.36 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.56 : 668.13 = 432.36 : x
  2. Step 2: Convert to fraction form
    447.56/668.13 = 432.36/x
  3. Step 3: Cross multiply
    447.56x = 668.13 × 432.36
  4. Step 4: Simplify right side
    447.56x = 288,872.69
  5. Step 5: Solve for x
    x = 288,872.69/447.56
  6. Step 6: Final answer
    x = 645.44

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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.