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Finding the Fourth Proportional to 721.28, 1,081.67 and 490.29

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Solution

The fourth proportional to 721.28, 1,081.67 and 490.29 is: 735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.28 : 1,081.67 = 490.29 : x
  2. Step 2: Convert to fraction form
    721.28/1,081.67 = 490.29/x
  3. Step 3: Cross multiply
    721.28x = 1,081.67 × 490.29
  4. Step 4: Simplify right side
    721.28x = 530,329.53
  5. Step 5: Solve for x
    x = 530,329.53/721.28
  6. Step 6: Final answer
    x = 735.27

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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.