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Finding the Fourth Proportional to 1,082.38, 1,493.69 and 616.63

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Solution

The fourth proportional to 1,082.38, 1,493.69 and 616.63 is: 850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.38 : 1,493.69 = 616.63 : x
  2. Step 2: Convert to fraction form
    1,082.38/1,493.69 = 616.63/x
  3. Step 3: Cross multiply
    1,082.38x = 1,493.69 × 616.63
  4. Step 4: Simplify right side
    1,082.38x = 921,054.06
  5. Step 5: Solve for x
    x = 921,054.06/1,082.38
  6. Step 6: Final answer
    x = 850.95

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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.