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Finding the Fourth Proportional to 1,344.60, 2,016.23 and 728.19

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Solution

The fourth proportional to 1,344.60, 2,016.23 and 728.19 is: 1,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.60 : 2,016.23 = 728.19 : x
  2. Step 2: Convert to fraction form
    1,344.60/2,016.23 = 728.19/x
  3. Step 3: Cross multiply
    1,344.60x = 2,016.23 × 728.19
  4. Step 4: Simplify right side
    1,344.60x = 1,468,194.88
  5. Step 5: Solve for x
    x = 1,468,194.88/1,344.60
  6. Step 6: Final answer
    x = 1,091.92

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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.