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Finding the Fourth Proportional to 1,377.98, 2,067.17 and 556.23

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Solution

The fourth proportional to 1,377.98, 2,067.17 and 556.23 is: 834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.98 : 2,067.17 = 556.23 : x
  2. Step 2: Convert to fraction form
    1,377.98/2,067.17 = 556.23/x
  3. Step 3: Cross multiply
    1,377.98x = 2,067.17 × 556.23
  4. Step 4: Simplify right side
    1,377.98x = 1,149,821.97
  5. Step 5: Solve for x
    x = 1,149,821.97/1,377.98
  6. Step 6: Final answer
    x = 834.43

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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.