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Finding the Fourth Proportional to 432.24, 645.42 and 424.56

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Solution

The fourth proportional to 432.24, 645.42 and 424.56 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 645.42 = 424.56 : x
  2. Step 2: Convert to fraction form
    432.24/645.42 = 424.56/x
  3. Step 3: Cross multiply
    432.24x = 645.42 × 424.56
  4. Step 4: Simplify right side
    432.24x = 274,019.52
  5. Step 5: Solve for x
    x = 274,019.52/432.24
  6. Step 6: Final answer
    x = 633.95

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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.