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Finding the Fourth Proportional to 2,179.72, 3,269.22 and 718.89

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Solution

The fourth proportional to 2,179.72, 3,269.22 and 718.89 is: 1,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.72 : 3,269.22 = 718.89 : x
  2. Step 2: Convert to fraction form
    2,179.72/3,269.22 = 718.89/x
  3. Step 3: Cross multiply
    2,179.72x = 3,269.22 × 718.89
  4. Step 4: Simplify right side
    2,179.72x = 2,350,209.57
  5. Step 5: Solve for x
    x = 2,350,209.57/2,179.72
  6. Step 6: Final answer
    x = 1,078.22

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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.