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Finding the Fourth Proportional to 1,125.67, 1,689.17 and 713.31

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Solution

The fourth proportional to 1,125.67, 1,689.17 and 713.31 is: 1,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.67 : 1,689.17 = 713.31 : x
  2. Step 2: Convert to fraction form
    1,125.67/1,689.17 = 713.31/x
  3. Step 3: Cross multiply
    1,125.67x = 1,689.17 × 713.31
  4. Step 4: Simplify right side
    1,125.67x = 1,204,901.85
  5. Step 5: Solve for x
    x = 1,204,901.85/1,125.67
  6. Step 6: Final answer
    x = 1,070.39

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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.