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Finding the Fourth Proportional to 1,082.97, 1,495.26 and 1,013.31

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Solution

The fourth proportional to 1,082.97, 1,495.26 and 1,013.31 is: 1,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.97 : 1,495.26 = 1,013.31 : x
  2. Step 2: Convert to fraction form
    1,082.97/1,495.26 = 1,013.31/x
  3. Step 3: Cross multiply
    1,082.97x = 1,495.26 × 1,013.31
  4. Step 4: Simplify right side
    1,082.97x = 1,515,161.91
  5. Step 5: Solve for x
    x = 1,515,161.91/1,082.97
  6. Step 6: Final answer
    x = 1,399.08

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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.