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Finding the Fourth Proportional to 1,082.11, 1,493.49 and 849.64

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Solution

The fourth proportional to 1,082.11, 1,493.49 and 849.64 is: 1,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.11 : 1,493.49 = 849.64 : x
  2. Step 2: Convert to fraction form
    1,082.11/1,493.49 = 849.64/x
  3. Step 3: Cross multiply
    1,082.11x = 1,493.49 × 849.64
  4. Step 4: Simplify right side
    1,082.11x = 1,268,928.84
  5. Step 5: Solve for x
    x = 1,268,928.84/1,082.11
  6. Step 6: Final answer
    x = 1,172.64

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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.