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Finding the Fourth Proportional to 1,299.80, 1,949.81 and 422.44

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Solution

The fourth proportional to 1,299.80, 1,949.81 and 422.44 is: 633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.80 : 1,949.81 = 422.44 : x
  2. Step 2: Convert to fraction form
    1,299.80/1,949.81 = 422.44/x
  3. Step 3: Cross multiply
    1,299.80x = 1,949.81 × 422.44
  4. Step 4: Simplify right side
    1,299.80x = 823,670.75
  5. Step 5: Solve for x
    x = 823,670.75/1,299.80
  6. Step 6: Final answer
    x = 633.69

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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.