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Finding the Fourth Proportional to 721.39, 1,082.19 and 288.43

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Solution

The fourth proportional to 721.39, 1,082.19 and 288.43 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.39 : 1,082.19 = 288.43 : x
  2. Step 2: Convert to fraction form
    721.39/1,082.19 = 288.43/x
  3. Step 3: Cross multiply
    721.39x = 1,082.19 × 288.43
  4. Step 4: Simplify right side
    721.39x = 312,136.06
  5. Step 5: Solve for x
    x = 312,136.06/721.39
  6. Step 6: Final answer
    x = 432.69

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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.