Home / 1,193.03-1,789.34-327.11

Finding the Fourth Proportional to 1,193.03, 1,789.34 and 327.11

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Solution

The fourth proportional to 1,193.03, 1,789.34 and 327.11 is: 490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.03 : 1,789.34 = 327.11 : x
  2. Step 2: Convert to fraction form
    1,193.03/1,789.34 = 327.11/x
  3. Step 3: Cross multiply
    1,193.03x = 1,789.34 × 327.11
  4. Step 4: Simplify right side
    1,193.03x = 585,309.37
  5. Step 5: Solve for x
    x = 585,309.37/1,193.03
  6. Step 6: Final answer
    x = 490.61

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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.