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Finding the Fourth Proportional to 2,732.72, 4,099.08 and 680.72

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Solution

The fourth proportional to 2,732.72, 4,099.08 and 680.72 is: 1,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.72 : 4,099.08 = 680.72 : x
  2. Step 2: Convert to fraction form
    2,732.72/4,099.08 = 680.72/x
  3. Step 3: Cross multiply
    2,732.72x = 4,099.08 × 680.72
  4. Step 4: Simplify right side
    2,732.72x = 2,790,325.74
  5. Step 5: Solve for x
    x = 2,790,325.74/2,732.72
  6. Step 6: Final answer
    x = 1,021.08

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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.