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Finding the Fourth Proportional to 432, 644.76 and 382.68

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Solution

The fourth proportional to 432, 644.76 and 382.68 is: 571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 644.76 = 382.68 : x
  2. Step 2: Convert to fraction form
    432/644.76 = 382.68/x
  3. Step 3: Cross multiply
    432x = 644.76 × 382.68
  4. Step 4: Simplify right side
    432x = 246,736.76
  5. Step 5: Solve for x
    x = 246,736.76/432
  6. Step 6: Final answer
    x = 571.15

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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.