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Finding the Fourth Proportional to 721.67, 1,082.89 and 708.80

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Solution

The fourth proportional to 721.67, 1,082.89 and 708.80 is: 1,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.67 : 1,082.89 = 708.80 : x
  2. Step 2: Convert to fraction form
    721.67/1,082.89 = 708.80/x
  3. Step 3: Cross multiply
    721.67x = 1,082.89 × 708.80
  4. Step 4: Simplify right side
    721.67x = 767,555.99
  5. Step 5: Solve for x
    x = 767,555.99/721.67
  6. Step 6: Final answer
    x = 1,063.58

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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.