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Finding the Fourth Proportional to 638.24, 958.16 and 431.96

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Solution

The fourth proportional to 638.24, 958.16 and 431.96 is: 648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.24 : 958.16 = 431.96 : x
  2. Step 2: Convert to fraction form
    638.24/958.16 = 431.96/x
  3. Step 3: Cross multiply
    638.24x = 958.16 × 431.96
  4. Step 4: Simplify right side
    638.24x = 413,883.08
  5. Step 5: Solve for x
    x = 413,883.08/638.24
  6. Step 6: Final answer
    x = 648.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.