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Finding the Fourth Proportional to 432.57, 650.22 and 372.43

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Solution

The fourth proportional to 432.57, 650.22 and 372.43 is: 559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.57 : 650.22 = 372.43 : x
  2. Step 2: Convert to fraction form
    432.57/650.22 = 372.43/x
  3. Step 3: Cross multiply
    432.57x = 650.22 × 372.43
  4. Step 4: Simplify right side
    432.57x = 242,160.74
  5. Step 5: Solve for x
    x = 242,160.74/432.57
  6. Step 6: Final answer
    x = 559.82

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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.