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Finding the Fourth Proportional to 1,200.41, 1,657.27 and 827.94

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Solution

The fourth proportional to 1,200.41, 1,657.27 and 827.94 is: 1,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.41 : 1,657.27 = 827.94 : x
  2. Step 2: Convert to fraction form
    1,200.41/1,657.27 = 827.94/x
  3. Step 3: Cross multiply
    1,200.41x = 1,657.27 × 827.94
  4. Step 4: Simplify right side
    1,200.41x = 1,372,120.12
  5. Step 5: Solve for x
    x = 1,372,120.12/1,200.41
  6. Step 6: Final answer
    x = 1,143.04

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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.