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Finding the Fourth Proportional to 486.54, 724.08 and 481.68

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Solution

The fourth proportional to 486.54, 724.08 and 481.68 is: 716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 724.08 = 481.68 : x
  2. Step 2: Convert to fraction form
    486.54/724.08 = 481.68/x
  3. Step 3: Cross multiply
    486.54x = 724.08 × 481.68
  4. Step 4: Simplify right side
    486.54x = 348,774.85
  5. Step 5: Solve for x
    x = 348,774.85/486.54
  6. Step 6: Final answer
    x = 716.85

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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.