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Finding the Fourth Proportional to 1,151.27, 1,727.03 and 411.05

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Solution

The fourth proportional to 1,151.27, 1,727.03 and 411.05 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.27 : 1,727.03 = 411.05 : x
  2. Step 2: Convert to fraction form
    1,151.27/1,727.03 = 411.05/x
  3. Step 3: Cross multiply
    1,151.27x = 1,727.03 × 411.05
  4. Step 4: Simplify right side
    1,151.27x = 709,891.47
  5. Step 5: Solve for x
    x = 709,891.47/1,151.27
  6. Step 6: Final answer
    x = 616.62

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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.