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Finding the Fourth Proportional to 1,182.05, 1,772.97 and 349.17

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Solution

The fourth proportional to 1,182.05, 1,772.97 and 349.17 is: 523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.05 : 1,772.97 = 349.17 : x
  2. Step 2: Convert to fraction form
    1,182.05/1,772.97 = 349.17/x
  3. Step 3: Cross multiply
    1,182.05x = 1,772.97 × 349.17
  4. Step 4: Simplify right side
    1,182.05x = 619,067.93
  5. Step 5: Solve for x
    x = 619,067.93/1,182.05
  6. Step 6: Final answer
    x = 523.72

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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.