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Finding the Fourth Proportional to 1,589.89, 2,385.24 and 724

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Solution

The fourth proportional to 1,589.89, 2,385.24 and 724 is: 1,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.89 : 2,385.24 = 724 : x
  2. Step 2: Convert to fraction form
    1,589.89/2,385.24 = 724/x
  3. Step 3: Cross multiply
    1,589.89x = 2,385.24 × 724
  4. Step 4: Simplify right side
    1,589.89x = 1,726,913.76
  5. Step 5: Solve for x
    x = 1,726,913.76/1,589.89
  6. Step 6: Final answer
    x = 1,086.18

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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.