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Finding the Fourth Proportional to 715.37, 1,067.11 and 691.37

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Solution

The fourth proportional to 715.37, 1,067.11 and 691.37 is: 1,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.37 : 1,067.11 = 691.37 : x
  2. Step 2: Convert to fraction form
    715.37/1,067.11 = 691.37/x
  3. Step 3: Cross multiply
    715.37x = 1,067.11 × 691.37
  4. Step 4: Simplify right side
    715.37x = 737,764.78
  5. Step 5: Solve for x
    x = 737,764.78/715.37
  6. Step 6: Final answer
    x = 1,031.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.