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Finding the Fourth Proportional to 844.21, 1,264.49 and 823.56

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Solution

The fourth proportional to 844.21, 1,264.49 and 823.56 is: 1,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.21 : 1,264.49 = 823.56 : x
  2. Step 2: Convert to fraction form
    844.21/1,264.49 = 823.56/x
  3. Step 3: Cross multiply
    844.21x = 1,264.49 × 823.56
  4. Step 4: Simplify right side
    844.21x = 1,041,383.38
  5. Step 5: Solve for x
    x = 1,041,383.38/844.21
  6. Step 6: Final answer
    x = 1,233.56

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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.