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Finding the Fourth Proportional to 2,680.35, 4,020.55 and 732.55

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Solution

The fourth proportional to 2,680.35, 4,020.55 and 732.55 is: 1,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.35 : 4,020.55 = 732.55 : x
  2. Step 2: Convert to fraction form
    2,680.35/4,020.55 = 732.55/x
  3. Step 3: Cross multiply
    2,680.35x = 4,020.55 × 732.55
  4. Step 4: Simplify right side
    2,680.35x = 2,945,253.90
  5. Step 5: Solve for x
    x = 2,945,253.90/2,680.35
  6. Step 6: Final answer
    x = 1,098.83

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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.