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Finding the Fourth Proportional to 825.27, 1,238.10 and 363.15

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Solution

The fourth proportional to 825.27, 1,238.10 and 363.15 is: 544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.27 : 1,238.10 = 363.15 : x
  2. Step 2: Convert to fraction form
    825.27/1,238.10 = 363.15/x
  3. Step 3: Cross multiply
    825.27x = 1,238.10 × 363.15
  4. Step 4: Simplify right side
    825.27x = 449,616.02
  5. Step 5: Solve for x
    x = 449,616.02/825.27
  6. Step 6: Final answer
    x = 544.81

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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.