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Finding the Fourth Proportional to 1,192.81, 1,789.34 and 327.13

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Solution

The fourth proportional to 1,192.81, 1,789.34 and 327.13 is: 490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.81 : 1,789.34 = 327.13 : x
  2. Step 2: Convert to fraction form
    1,192.81/1,789.34 = 327.13/x
  3. Step 3: Cross multiply
    1,192.81x = 1,789.34 × 327.13
  4. Step 4: Simplify right side
    1,192.81x = 585,346.79
  5. Step 5: Solve for x
    x = 585,346.79/1,192.81
  6. Step 6: Final answer
    x = 490.73

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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.