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Finding the Fourth Proportional to 1,366.38, 2,049.78 and 708.05

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Solution

The fourth proportional to 1,366.38, 2,049.78 and 708.05 is: 1,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.38 : 2,049.78 = 708.05 : x
  2. Step 2: Convert to fraction form
    1,366.38/2,049.78 = 708.05/x
  3. Step 3: Cross multiply
    1,366.38x = 2,049.78 × 708.05
  4. Step 4: Simplify right side
    1,366.38x = 1,451,336.48
  5. Step 5: Solve for x
    x = 1,451,336.48/1,366.38
  6. Step 6: Final answer
    x = 1,062.18

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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.