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Finding the Fourth Proportional to 721.96, 1,083.22 and 289.24

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Solution

The fourth proportional to 721.96, 1,083.22 and 289.24 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.96 : 1,083.22 = 289.24 : x
  2. Step 2: Convert to fraction form
    721.96/1,083.22 = 289.24/x
  3. Step 3: Cross multiply
    721.96x = 1,083.22 × 289.24
  4. Step 4: Simplify right side
    721.96x = 313,310.55
  5. Step 5: Solve for x
    x = 313,310.55/721.96
  6. Step 6: Final answer
    x = 433.97

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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.