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Finding the Fourth Proportional to 1,175.72, 1,622.01 and 1,082.46

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Solution

The fourth proportional to 1,175.72, 1,622.01 and 1,082.46 is: 1,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.72 : 1,622.01 = 1,082.46 : x
  2. Step 2: Convert to fraction form
    1,175.72/1,622.01 = 1,082.46/x
  3. Step 3: Cross multiply
    1,175.72x = 1,622.01 × 1,082.46
  4. Step 4: Simplify right side
    1,175.72x = 1,755,760.94
  5. Step 5: Solve for x
    x = 1,755,760.94/1,175.72
  6. Step 6: Final answer
    x = 1,493.36

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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.