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Finding the Fourth Proportional to 1,661.78, 2,489.83 and 827.75

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Solution

The fourth proportional to 1,661.78, 2,489.83 and 827.75 is: 1,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.78 : 2,489.83 = 827.75 : x
  2. Step 2: Convert to fraction form
    1,661.78/2,489.83 = 827.75/x
  3. Step 3: Cross multiply
    1,661.78x = 2,489.83 × 827.75
  4. Step 4: Simplify right side
    1,661.78x = 2,060,960.94
  5. Step 5: Solve for x
    x = 2,060,960.94/1,661.78
  6. Step 6: Final answer
    x = 1,240.21

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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.