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Finding the Fourth Proportional to 432.80, 648.96 and 381.56

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Solution

The fourth proportional to 432.80, 648.96 and 381.56 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 648.96 = 381.56 : x
  2. Step 2: Convert to fraction form
    432.80/648.96 = 381.56/x
  3. Step 3: Cross multiply
    432.80x = 648.96 × 381.56
  4. Step 4: Simplify right side
    432.80x = 247,617.18
  5. Step 5: Solve for x
    x = 247,617.18/432.80
  6. Step 6: Final answer
    x = 572.13

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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.