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Finding the Fourth Proportional to 1,166.52, 1,610.14 and 724.20

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Solution

The fourth proportional to 1,166.52, 1,610.14 and 724.20 is: 999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.52 : 1,610.14 = 724.20 : x
  2. Step 2: Convert to fraction form
    1,166.52/1,610.14 = 724.20/x
  3. Step 3: Cross multiply
    1,166.52x = 1,610.14 × 724.20
  4. Step 4: Simplify right side
    1,166.52x = 1,166,063.39
  5. Step 5: Solve for x
    x = 1,166,063.39/1,166.52
  6. Step 6: Final answer
    x = 999.61

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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.