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Finding the Fourth Proportional to 724.06, 1,087.17 and 698.86

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Solution

The fourth proportional to 724.06, 1,087.17 and 698.86 is: 1,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.06 : 1,087.17 = 698.86 : x
  2. Step 2: Convert to fraction form
    724.06/1,087.17 = 698.86/x
  3. Step 3: Cross multiply
    724.06x = 1,087.17 × 698.86
  4. Step 4: Simplify right side
    724.06x = 759,779.63
  5. Step 5: Solve for x
    x = 759,779.63/724.06
  6. Step 6: Final answer
    x = 1,049.33

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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.