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Finding the Fourth Proportional to 1,744.78, 2,617.46 and 512.23

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Solution

The fourth proportional to 1,744.78, 2,617.46 and 512.23 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.78 : 2,617.46 = 512.23 : x
  2. Step 2: Convert to fraction form
    1,744.78/2,617.46 = 512.23/x
  3. Step 3: Cross multiply
    1,744.78x = 2,617.46 × 512.23
  4. Step 4: Simplify right side
    1,744.78x = 1,340,747.44
  5. Step 5: Solve for x
    x = 1,340,747.44/1,744.78
  6. Step 6: Final answer
    x = 768.43

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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.