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Finding the Fourth Proportional to 773.87, 1,067.22 and 525.56

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Solution

The fourth proportional to 773.87, 1,067.22 and 525.56 is: 724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.87 : 1,067.22 = 525.56 : x
  2. Step 2: Convert to fraction form
    773.87/1,067.22 = 525.56/x
  3. Step 3: Cross multiply
    773.87x = 1,067.22 × 525.56
  4. Step 4: Simplify right side
    773.87x = 560,882.81
  5. Step 5: Solve for x
    x = 560,882.81/773.87
  6. Step 6: Final answer
    x = 724.78

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1.5x scale

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.