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Finding the Fourth Proportional to 773.31, 1,067.67 and 537.20

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Solution

The fourth proportional to 773.31, 1,067.67 and 537.20 is: 741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.31 : 1,067.67 = 537.20 : x
  2. Step 2: Convert to fraction form
    773.31/1,067.67 = 537.20/x
  3. Step 3: Cross multiply
    773.31x = 1,067.67 × 537.20
  4. Step 4: Simplify right side
    773.31x = 573,546.99
  5. Step 5: Solve for x
    x = 573,546.99/773.31
  6. Step 6: Final answer
    x = 741.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.