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Finding the Fourth Proportional to 844.28, 1,266.42 and 411.06

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Solution

The fourth proportional to 844.28, 1,266.42 and 411.06 is: 616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.28 : 1,266.42 = 411.06 : x
  2. Step 2: Convert to fraction form
    844.28/1,266.42 = 411.06/x
  3. Step 3: Cross multiply
    844.28x = 1,266.42 × 411.06
  4. Step 4: Simplify right side
    844.28x = 520,574.61
  5. Step 5: Solve for x
    x = 520,574.61/844.28
  6. Step 6: Final answer
    x = 616.59

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Double scale
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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.