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Finding the Fourth Proportional to 755.85, 1,132.56 and 664.86

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Solution

The fourth proportional to 755.85, 1,132.56 and 664.86 is: 996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.85 : 1,132.56 = 664.86 : x
  2. Step 2: Convert to fraction form
    755.85/1,132.56 = 664.86/x
  3. Step 3: Cross multiply
    755.85x = 1,132.56 × 664.86
  4. Step 4: Simplify right side
    755.85x = 752,993.84
  5. Step 5: Solve for x
    x = 752,993.84/755.85
  6. Step 6: Final answer
    x = 996.22

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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.