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Finding the Fourth Proportional to 1,229.92, 1,696.08 and 1,043.20

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Solution

The fourth proportional to 1,229.92, 1,696.08 and 1,043.20 is: 1,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.92 : 1,696.08 = 1,043.20 : x
  2. Step 2: Convert to fraction form
    1,229.92/1,696.08 = 1,043.20/x
  3. Step 3: Cross multiply
    1,229.92x = 1,696.08 × 1,043.20
  4. Step 4: Simplify right side
    1,229.92x = 1,769,350.66
  5. Step 5: Solve for x
    x = 1,769,350.66/1,229.92
  6. Step 6: Final answer
    x = 1,438.59

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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.