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Finding the Fourth Proportional to 844.02, 1,263.52 and 824.13

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Solution

The fourth proportional to 844.02, 1,263.52 and 824.13 is: 1,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.02 : 1,263.52 = 824.13 : x
  2. Step 2: Convert to fraction form
    844.02/1,263.52 = 824.13/x
  3. Step 3: Cross multiply
    844.02x = 1,263.52 × 824.13
  4. Step 4: Simplify right side
    844.02x = 1,041,304.74
  5. Step 5: Solve for x
    x = 1,041,304.74/844.02
  6. Step 6: Final answer
    x = 1,233.74

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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.