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Finding the Fourth Proportional to 2,665.59, 3,998.39 and 717.95

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Solution

The fourth proportional to 2,665.59, 3,998.39 and 717.95 is: 1,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.59 : 3,998.39 = 717.95 : x
  2. Step 2: Convert to fraction form
    2,665.59/3,998.39 = 717.95/x
  3. Step 3: Cross multiply
    2,665.59x = 3,998.39 × 717.95
  4. Step 4: Simplify right side
    2,665.59x = 2,870,620.52
  5. Step 5: Solve for x
    x = 2,870,620.52/2,665.59
  6. Step 6: Final answer
    x = 1,076.92

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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.