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Finding the Fourth Proportional to 432.16, 644.68 and 402.72

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Solution

The fourth proportional to 432.16, 644.68 and 402.72 is: 600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 644.68 = 402.72 : x
  2. Step 2: Convert to fraction form
    432.16/644.68 = 402.72/x
  3. Step 3: Cross multiply
    432.16x = 644.68 × 402.72
  4. Step 4: Simplify right side
    432.16x = 259,625.53
  5. Step 5: Solve for x
    x = 259,625.53/432.16
  6. Step 6: Final answer
    x = 600.76

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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.