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Finding the Fourth Proportional to 711.50, 1,067.42 and 217.91

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Solution

The fourth proportional to 711.50, 1,067.42 and 217.91 is: 326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.50 : 1,067.42 = 217.91 : x
  2. Step 2: Convert to fraction form
    711.50/1,067.42 = 217.91/x
  3. Step 3: Cross multiply
    711.50x = 1,067.42 × 217.91
  4. Step 4: Simplify right side
    711.50x = 232,595.07
  5. Step 5: Solve for x
    x = 232,595.07/711.50
  6. Step 6: Final answer
    x = 326.91

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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.