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Finding the Fourth Proportional to 793.52, 1,189.89 and 331.16

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Solution

The fourth proportional to 793.52, 1,189.89 and 331.16 is: 496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.52 : 1,189.89 = 331.16 : x
  2. Step 2: Convert to fraction form
    793.52/1,189.89 = 331.16/x
  3. Step 3: Cross multiply
    793.52x = 1,189.89 × 331.16
  4. Step 4: Simplify right side
    793.52x = 394,043.97
  5. Step 5: Solve for x
    x = 394,043.97/793.52
  6. Step 6: Final answer
    x = 496.58

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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.