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Finding the Fourth Proportional to 711.69, 1,067.81 and 279.15

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Solution

The fourth proportional to 711.69, 1,067.81 and 279.15 is: 418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.69 : 1,067.81 = 279.15 : x
  2. Step 2: Convert to fraction form
    711.69/1,067.81 = 279.15/x
  3. Step 3: Cross multiply
    711.69x = 1,067.81 × 279.15
  4. Step 4: Simplify right side
    711.69x = 298,077.77
  5. Step 5: Solve for x
    x = 298,077.77/711.69
  6. Step 6: Final answer
    x = 418.83

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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.