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Finding the Fourth Proportional to 1,305.02, 1,967.18 and 1,229.78

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Solution

The fourth proportional to 1,305.02, 1,967.18 and 1,229.78 is: 1,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.02 : 1,967.18 = 1,229.78 : x
  2. Step 2: Convert to fraction form
    1,305.02/1,967.18 = 1,229.78/x
  3. Step 3: Cross multiply
    1,305.02x = 1,967.18 × 1,229.78
  4. Step 4: Simplify right side
    1,305.02x = 2,419,198.62
  5. Step 5: Solve for x
    x = 2,419,198.62/1,305.02
  6. Step 6: Final answer
    x = 1,853.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.