Home / 1,193.18-1,790.22-827.78

Finding the Fourth Proportional to 1,193.18, 1,790.22 and 827.78

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Solution

The fourth proportional to 1,193.18, 1,790.22 and 827.78 is: 1,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.18 : 1,790.22 = 827.78 : x
  2. Step 2: Convert to fraction form
    1,193.18/1,790.22 = 827.78/x
  3. Step 3: Cross multiply
    1,193.18x = 1,790.22 × 827.78
  4. Step 4: Simplify right side
    1,193.18x = 1,481,908.31
  5. Step 5: Solve for x
    x = 1,481,908.31/1,193.18
  6. Step 6: Final answer
    x = 1,241.98

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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.