Home / 1,193.19-1,789.85-327.57

Finding the Fourth Proportional to 1,193.19, 1,789.85 and 327.57

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Solution

The fourth proportional to 1,193.19, 1,789.85 and 327.57 is: 491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.19 : 1,789.85 = 327.57 : x
  2. Step 2: Convert to fraction form
    1,193.19/1,789.85 = 327.57/x
  3. Step 3: Cross multiply
    1,193.19x = 1,789.85 × 327.57
  4. Step 4: Simplify right side
    1,193.19x = 586,301.16
  5. Step 5: Solve for x
    x = 586,301.16/1,193.19
  6. Step 6: Final answer
    x = 491.37

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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.