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Finding the Fourth Proportional to 1,151.78, 1,727.36 and 329.97

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Solution

The fourth proportional to 1,151.78, 1,727.36 and 329.97 is: 494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.78 : 1,727.36 = 329.97 : x
  2. Step 2: Convert to fraction form
    1,151.78/1,727.36 = 329.97/x
  3. Step 3: Cross multiply
    1,151.78x = 1,727.36 × 329.97
  4. Step 4: Simplify right side
    1,151.78x = 569,975.33
  5. Step 5: Solve for x
    x = 569,975.33/1,151.78
  6. Step 6: Final answer
    x = 494.87

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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.