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Finding the Fourth Proportional to 1,379.57, 2,067.98 and 721.67

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Solution

The fourth proportional to 1,379.57, 2,067.98 and 721.67 is: 1,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.57 : 2,067.98 = 721.67 : x
  2. Step 2: Convert to fraction form
    1,379.57/2,067.98 = 721.67/x
  3. Step 3: Cross multiply
    1,379.57x = 2,067.98 × 721.67
  4. Step 4: Simplify right side
    1,379.57x = 1,492,385.18
  5. Step 5: Solve for x
    x = 1,492,385.18/1,379.57
  6. Step 6: Final answer
    x = 1,081.78

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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.