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Finding the Fourth Proportional to 1,118.80, 1,677.60 and 656.71

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Solution

The fourth proportional to 1,118.80, 1,677.60 and 656.71 is: 984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.80 : 1,677.60 = 656.71 : x
  2. Step 2: Convert to fraction form
    1,118.80/1,677.60 = 656.71/x
  3. Step 3: Cross multiply
    1,118.80x = 1,677.60 × 656.71
  4. Step 4: Simplify right side
    1,118.80x = 1,101,696.70
  5. Step 5: Solve for x
    x = 1,101,696.70/1,118.80
  6. Step 6: Final answer
    x = 984.71

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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.