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Finding the Fourth Proportional to 1,192.94, 1,789.09 and 327.05

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Solution

The fourth proportional to 1,192.94, 1,789.09 and 327.05 is: 490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.94 : 1,789.09 = 327.05 : x
  2. Step 2: Convert to fraction form
    1,192.94/1,789.09 = 327.05/x
  3. Step 3: Cross multiply
    1,192.94x = 1,789.09 × 327.05
  4. Step 4: Simplify right side
    1,192.94x = 585,121.88
  5. Step 5: Solve for x
    x = 585,121.88/1,192.94
  6. Step 6: Final answer
    x = 490.49

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Double scale
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1.5x scale

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.