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Finding the Fourth Proportional to 1,178.26, 1,625.96 and 680.85

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Solution

The fourth proportional to 1,178.26, 1,625.96 and 680.85 is: 939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.26 : 1,625.96 = 680.85 : x
  2. Step 2: Convert to fraction form
    1,178.26/1,625.96 = 680.85/x
  3. Step 3: Cross multiply
    1,178.26x = 1,625.96 × 680.85
  4. Step 4: Simplify right side
    1,178.26x = 1,107,037.23
  5. Step 5: Solve for x
    x = 1,107,037.23/1,178.26
  6. Step 6: Final answer
    x = 939.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.