Home / 1,151.38-1,727.37-329.72

Finding the Fourth Proportional to 1,151.38, 1,727.37 and 329.72

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Solution

The fourth proportional to 1,151.38, 1,727.37 and 329.72 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.38 : 1,727.37 = 329.72 : x
  2. Step 2: Convert to fraction form
    1,151.38/1,727.37 = 329.72/x
  3. Step 3: Cross multiply
    1,151.38x = 1,727.37 × 329.72
  4. Step 4: Simplify right side
    1,151.38x = 569,539.80
  5. Step 5: Solve for x
    x = 569,539.80/1,151.38
  6. Step 6: Final answer
    x = 494.66

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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.