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Finding the Fourth Proportional to 721.60, 1,082.36 and 478.06

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Solution

The fourth proportional to 721.60, 1,082.36 and 478.06 is: 717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.60 : 1,082.36 = 478.06 : x
  2. Step 2: Convert to fraction form
    721.60/1,082.36 = 478.06/x
  3. Step 3: Cross multiply
    721.60x = 1,082.36 × 478.06
  4. Step 4: Simplify right side
    721.60x = 517,433.02
  5. Step 5: Solve for x
    x = 517,433.02/721.60
  6. Step 6: Final answer
    x = 717.06

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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.