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Finding the Fourth Proportional to 1,278.72, 1,912.32 and 757.26

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Solution

The fourth proportional to 1,278.72, 1,912.32 and 757.26 is: 1,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.72 : 1,912.32 = 757.26 : x
  2. Step 2: Convert to fraction form
    1,278.72/1,912.32 = 757.26/x
  3. Step 3: Cross multiply
    1,278.72x = 1,912.32 × 757.26
  4. Step 4: Simplify right side
    1,278.72x = 1,448,123.44
  5. Step 5: Solve for x
    x = 1,448,123.44/1,278.72
  6. Step 6: Final answer
    x = 1,132.48

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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.