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Finding the Fourth Proportional to 1,082.31, 1,493.15 and 689.19

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Solution

The fourth proportional to 1,082.31, 1,493.15 and 689.19 is: 950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.31 : 1,493.15 = 689.19 : x
  2. Step 2: Convert to fraction form
    1,082.31/1,493.15 = 689.19/x
  3. Step 3: Cross multiply
    1,082.31x = 1,493.15 × 689.19
  4. Step 4: Simplify right side
    1,082.31x = 1,029,060.60
  5. Step 5: Solve for x
    x = 1,029,060.60/1,082.31
  6. Step 6: Final answer
    x = 950.80

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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.