Home / 1,193.27-1,789.70-327.38

Finding the Fourth Proportional to 1,193.27, 1,789.70 and 327.38

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Solution

The fourth proportional to 1,193.27, 1,789.70 and 327.38 is: 491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.27 : 1,789.70 = 327.38 : x
  2. Step 2: Convert to fraction form
    1,193.27/1,789.70 = 327.38/x
  3. Step 3: Cross multiply
    1,193.27x = 1,789.70 × 327.38
  4. Step 4: Simplify right side
    1,193.27x = 585,901.40
  5. Step 5: Solve for x
    x = 585,901.40/1,193.27
  6. Step 6: Final answer
    x = 491.01

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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.