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Finding the Fourth Proportional to 1,179.87, 1,778.70 and 1,100.61

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Solution

The fourth proportional to 1,179.87, 1,778.70 and 1,100.61 is: 1,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.87 : 1,778.70 = 1,100.61 : x
  2. Step 2: Convert to fraction form
    1,179.87/1,778.70 = 1,100.61/x
  3. Step 3: Cross multiply
    1,179.87x = 1,778.70 × 1,100.61
  4. Step 4: Simplify right side
    1,179.87x = 1,957,655.01
  5. Step 5: Solve for x
    x = 1,957,655.01/1,179.87
  6. Step 6: Final answer
    x = 1,659.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.