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Finding the Fourth Proportional to 629.50, 868.31 and 432.67

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Solution

The fourth proportional to 629.50, 868.31 and 432.67 is: 596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.50 : 868.31 = 432.67 : x
  2. Step 2: Convert to fraction form
    629.50/868.31 = 432.67/x
  3. Step 3: Cross multiply
    629.50x = 868.31 × 432.67
  4. Step 4: Simplify right side
    629.50x = 375,691.41
  5. Step 5: Solve for x
    x = 375,691.41/629.50
  6. Step 6: Final answer
    x = 596.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.