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Finding the Fourth Proportional to 844.56, 1,266.53 and 411.57

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Solution

The fourth proportional to 844.56, 1,266.53 and 411.57 is: 617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.56 : 1,266.53 = 411.57 : x
  2. Step 2: Convert to fraction form
    844.56/1,266.53 = 411.57/x
  3. Step 3: Cross multiply
    844.56x = 1,266.53 × 411.57
  4. Step 4: Simplify right side
    844.56x = 521,263.69
  5. Step 5: Solve for x
    x = 521,263.69/844.56
  6. Step 6: Final answer
    x = 617.20

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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.