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Finding the Fourth Proportional to 754.91, 1,131.75 and 711.98

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Solution

The fourth proportional to 754.91, 1,131.75 and 711.98 is: 1,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.91 : 1,131.75 = 711.98 : x
  2. Step 2: Convert to fraction form
    754.91/1,131.75 = 711.98/x
  3. Step 3: Cross multiply
    754.91x = 1,131.75 × 711.98
  4. Step 4: Simplify right side
    754.91x = 805,777.71
  5. Step 5: Solve for x
    x = 805,777.71/754.91
  6. Step 6: Final answer
    x = 1,067.39

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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.