Home / 1,193.28-1,789.68-327.36

Finding the Fourth Proportional to 1,193.28, 1,789.68 and 327.36

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Solution

The fourth proportional to 1,193.28, 1,789.68 and 327.36 is: 490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.28 : 1,789.68 = 327.36 : x
  2. Step 2: Convert to fraction form
    1,193.28/1,789.68 = 327.36/x
  3. Step 3: Cross multiply
    1,193.28x = 1,789.68 × 327.36
  4. Step 4: Simplify right side
    1,193.28x = 585,869.64
  5. Step 5: Solve for x
    x = 585,869.64/1,193.28
  6. Step 6: Final answer
    x = 490.97

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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.