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Finding the Fourth Proportional to 1,182.30, 1,772.97 and 412.62

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Solution

The fourth proportional to 1,182.30, 1,772.97 and 412.62 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.30 : 1,772.97 = 412.62 : x
  2. Step 2: Convert to fraction form
    1,182.30/1,772.97 = 412.62/x
  3. Step 3: Cross multiply
    1,182.30x = 1,772.97 × 412.62
  4. Step 4: Simplify right side
    1,182.30x = 731,562.88
  5. Step 5: Solve for x
    x = 731,562.88/1,182.30
  6. Step 6: Final answer
    x = 618.76

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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.