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Finding the Fourth Proportional to 755.37, 1,132.91 and 293.15

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Solution

The fourth proportional to 755.37, 1,132.91 and 293.15 is: 439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.37 : 1,132.91 = 293.15 : x
  2. Step 2: Convert to fraction form
    755.37/1,132.91 = 293.15/x
  3. Step 3: Cross multiply
    755.37x = 1,132.91 × 293.15
  4. Step 4: Simplify right side
    755.37x = 332,105.44
  5. Step 5: Solve for x
    x = 332,105.44/755.37
  6. Step 6: Final answer
    x = 439.66

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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.