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Finding the Fourth Proportional to 1,193.85, 1,790.40 and 827.54

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Solution

The fourth proportional to 1,193.85, 1,790.40 and 827.54 is: 1,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.85 : 1,790.40 = 827.54 : x
  2. Step 2: Convert to fraction form
    1,193.85/1,790.40 = 827.54/x
  3. Step 3: Cross multiply
    1,193.85x = 1,790.40 × 827.54
  4. Step 4: Simplify right side
    1,193.85x = 1,481,618.66
  5. Step 5: Solve for x
    x = 1,481,618.66/1,193.85
  6. Step 6: Final answer
    x = 1,241.04

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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.