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Finding the Fourth Proportional to 785.89, 1,082.32 and 724.33

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Solution

The fourth proportional to 785.89, 1,082.32 and 724.33 is: 997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.89 : 1,082.32 = 724.33 : x
  2. Step 2: Convert to fraction form
    785.89/1,082.32 = 724.33/x
  3. Step 3: Cross multiply
    785.89x = 1,082.32 × 724.33
  4. Step 4: Simplify right side
    785.89x = 783,956.85
  5. Step 5: Solve for x
    x = 783,956.85/785.89
  6. Step 6: Final answer
    x = 997.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.