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Finding the Fourth Proportional to 721.89, 1,082.04 and 592.46

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Solution

The fourth proportional to 721.89, 1,082.04 and 592.46 is: 888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.89 : 1,082.04 = 592.46 : x
  2. Step 2: Convert to fraction form
    721.89/1,082.04 = 592.46/x
  3. Step 3: Cross multiply
    721.89x = 1,082.04 × 592.46
  4. Step 4: Simplify right side
    721.89x = 641,061.84
  5. Step 5: Solve for x
    x = 641,061.84/721.89
  6. Step 6: Final answer
    x = 888.03

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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.