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Finding the Fourth Proportional to 481.89, 724.47 and 380.41

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Solution

The fourth proportional to 481.89, 724.47 and 380.41 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.89 : 724.47 = 380.41 : x
  2. Step 2: Convert to fraction form
    481.89/724.47 = 380.41/x
  3. Step 3: Cross multiply
    481.89x = 724.47 × 380.41
  4. Step 4: Simplify right side
    481.89x = 275,592.39
  5. Step 5: Solve for x
    x = 275,592.39/481.89
  6. Step 6: Final answer
    x = 571.89

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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.