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Finding the Fourth Proportional to 712.46, 1,067.24 and 687.22

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Solution

The fourth proportional to 712.46, 1,067.24 and 687.22 is: 1,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.46 : 1,067.24 = 687.22 : x
  2. Step 2: Convert to fraction form
    712.46/1,067.24 = 687.22/x
  3. Step 3: Cross multiply
    712.46x = 1,067.24 × 687.22
  4. Step 4: Simplify right side
    712.46x = 733,427.72
  5. Step 5: Solve for x
    x = 733,427.72/712.46
  6. Step 6: Final answer
    x = 1,029.43

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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.