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Finding the Fourth Proportional to 1,082.42, 1,493.70 and 616.58

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Solution

The fourth proportional to 1,082.42, 1,493.70 and 616.58 is: 850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.42 : 1,493.70 = 616.58 : x
  2. Step 2: Convert to fraction form
    1,082.42/1,493.70 = 616.58/x
  3. Step 3: Cross multiply
    1,082.42x = 1,493.70 × 616.58
  4. Step 4: Simplify right side
    1,082.42x = 920,985.55
  5. Step 5: Solve for x
    x = 920,985.55/1,082.42
  6. Step 6: Final answer
    x = 850.86

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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.