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Finding the Fourth Proportional to 724.33, 1,083.43 and 611.74

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Solution

The fourth proportional to 724.33, 1,083.43 and 611.74 is: 915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.33 : 1,083.43 = 611.74 : x
  2. Step 2: Convert to fraction form
    724.33/1,083.43 = 611.74/x
  3. Step 3: Cross multiply
    724.33x = 1,083.43 × 611.74
  4. Step 4: Simplify right side
    724.33x = 662,770.05
  5. Step 5: Solve for x
    x = 662,770.05/724.33
  6. Step 6: Final answer
    x = 915.02

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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.