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Finding the Fourth Proportional to 1,348.70, 1,861.31 and 759.29

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Solution

The fourth proportional to 1,348.70, 1,861.31 and 759.29 is: 1,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.70 : 1,861.31 = 759.29 : x
  2. Step 2: Convert to fraction form
    1,348.70/1,861.31 = 759.29/x
  3. Step 3: Cross multiply
    1,348.70x = 1,861.31 × 759.29
  4. Step 4: Simplify right side
    1,348.70x = 1,413,266.66
  5. Step 5: Solve for x
    x = 1,413,266.66/1,348.70
  6. Step 6: Final answer
    x = 1,047.88

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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.