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Finding the Fourth Proportional to 1,377.60, 2,067.06 and 684.33

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Solution

The fourth proportional to 1,377.60, 2,067.06 and 684.33 is: 1,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.60 : 2,067.06 = 684.33 : x
  2. Step 2: Convert to fraction form
    1,377.60/2,067.06 = 684.33/x
  3. Step 3: Cross multiply
    1,377.60x = 2,067.06 × 684.33
  4. Step 4: Simplify right side
    1,377.60x = 1,414,551.17
  5. Step 5: Solve for x
    x = 1,414,551.17/1,377.60
  6. Step 6: Final answer
    x = 1,026.82

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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.