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Finding the Fourth Proportional to 1,299.61, 1,949.64 and 422.32

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Solution

The fourth proportional to 1,299.61, 1,949.64 and 422.32 is: 633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.61 : 1,949.64 = 422.32 : x
  2. Step 2: Convert to fraction form
    1,299.61/1,949.64 = 422.32/x
  3. Step 3: Cross multiply
    1,299.61x = 1,949.64 × 422.32
  4. Step 4: Simplify right side
    1,299.61x = 823,371.96
  5. Step 5: Solve for x
    x = 823,371.96/1,299.61
  6. Step 6: Final answer
    x = 633.55

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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.