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Finding the Fourth Proportional to 844.98, 1,268.01 and 411.90

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Solution

The fourth proportional to 844.98, 1,268.01 and 411.90 is: 618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.98 : 1,268.01 = 411.90 : x
  2. Step 2: Convert to fraction form
    844.98/1,268.01 = 411.90/x
  3. Step 3: Cross multiply
    844.98x = 1,268.01 × 411.90
  4. Step 4: Simplify right side
    844.98x = 522,288.56
  5. Step 5: Solve for x
    x = 522,288.56/844.98
  6. Step 6: Final answer
    x = 618.11

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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.