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Finding the Fourth Proportional to 755.67, 1,133.31 and 207.82

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Solution

The fourth proportional to 755.67, 1,133.31 and 207.82 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.67 : 1,133.31 = 207.82 : x
  2. Step 2: Convert to fraction form
    755.67/1,133.31 = 207.82/x
  3. Step 3: Cross multiply
    755.67x = 1,133.31 × 207.82
  4. Step 4: Simplify right side
    755.67x = 235,524.48
  5. Step 5: Solve for x
    x = 235,524.48/755.67
  6. Step 6: Final answer
    x = 311.68

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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.