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Finding the Fourth Proportional to 755.38, 1,132.85 and 207.58

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Solution

The fourth proportional to 755.38, 1,132.85 and 207.58 is: 311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.38 : 1,132.85 = 207.58 : x
  2. Step 2: Convert to fraction form
    755.38/1,132.85 = 207.58/x
  3. Step 3: Cross multiply
    755.38x = 1,132.85 × 207.58
  4. Step 4: Simplify right side
    755.38x = 235,157.52
  5. Step 5: Solve for x
    x = 235,157.52/755.38
  6. Step 6: Final answer
    x = 311.31

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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.