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Finding the Fourth Proportional to 1,139.04, 1,706.34 and 721.29

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Solution

The fourth proportional to 1,139.04, 1,706.34 and 721.29 is: 1,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.04 : 1,706.34 = 721.29 : x
  2. Step 2: Convert to fraction form
    1,139.04/1,706.34 = 721.29/x
  3. Step 3: Cross multiply
    1,139.04x = 1,706.34 × 721.29
  4. Step 4: Simplify right side
    1,139.04x = 1,230,765.98
  5. Step 5: Solve for x
    x = 1,230,765.98/1,139.04
  6. Step 6: Final answer
    x = 1,080.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.