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Finding the Fourth Proportional to 711.99, 1,067.78 and 218.43

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Solution

The fourth proportional to 711.99, 1,067.78 and 218.43 is: 327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.99 : 1,067.78 = 218.43 : x
  2. Step 2: Convert to fraction form
    711.99/1,067.78 = 218.43/x
  3. Step 3: Cross multiply
    711.99x = 1,067.78 × 218.43
  4. Step 4: Simplify right side
    711.99x = 233,235.73
  5. Step 5: Solve for x
    x = 233,235.73/711.99
  6. Step 6: Final answer
    x = 327.58

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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.