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Finding the Fourth Proportional to 844.01, 1,266.06 and 411.17

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Solution

The fourth proportional to 844.01, 1,266.06 and 411.17 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.01 : 1,266.06 = 411.17 : x
  2. Step 2: Convert to fraction form
    844.01/1,266.06 = 411.17/x
  3. Step 3: Cross multiply
    844.01x = 1,266.06 × 411.17
  4. Step 4: Simplify right side
    844.01x = 520,559.56
  5. Step 5: Solve for x
    x = 520,559.56/844.01
  6. Step 6: Final answer
    x = 616.77

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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.