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Finding the Fourth Proportional to 755.38, 1,132.26 and 512.38

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Solution

The fourth proportional to 755.38, 1,132.26 and 512.38 is: 768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.38 : 1,132.26 = 512.38 : x
  2. Step 2: Convert to fraction form
    755.38/1,132.26 = 512.38/x
  3. Step 3: Cross multiply
    755.38x = 1,132.26 × 512.38
  4. Step 4: Simplify right side
    755.38x = 580,147.38
  5. Step 5: Solve for x
    x = 580,147.38/755.38
  6. Step 6: Final answer
    x = 768.02

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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.