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Finding the Fourth Proportional to 432.46, 645.71 and 391.42

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Solution

The fourth proportional to 432.46, 645.71 and 391.42 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.46 : 645.71 = 391.42 : x
  2. Step 2: Convert to fraction form
    432.46/645.71 = 391.42/x
  3. Step 3: Cross multiply
    432.46x = 645.71 × 391.42
  4. Step 4: Simplify right side
    432.46x = 252,743.81
  5. Step 5: Solve for x
    x = 252,743.81/432.46
  6. Step 6: Final answer
    x = 584.43

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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.