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Finding the Fourth Proportional to 481.60, 726.08 and 476.16

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Solution

The fourth proportional to 481.60, 726.08 and 476.16 is: 717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 726.08 = 476.16 : x
  2. Step 2: Convert to fraction form
    481.60/726.08 = 476.16/x
  3. Step 3: Cross multiply
    481.60x = 726.08 × 476.16
  4. Step 4: Simplify right side
    481.60x = 345,730.25
  5. Step 5: Solve for x
    x = 345,730.25/481.60
  6. Step 6: Final answer
    x = 717.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.