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Finding the Fourth Proportional to 824.57, 1,236.27 and 413.41

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Solution

The fourth proportional to 824.57, 1,236.27 and 413.41 is: 619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.57 : 1,236.27 = 413.41 : x
  2. Step 2: Convert to fraction form
    824.57/1,236.27 = 413.41/x
  3. Step 3: Cross multiply
    824.57x = 1,236.27 × 413.41
  4. Step 4: Simplify right side
    824.57x = 511,086.38
  5. Step 5: Solve for x
    x = 511,086.38/824.57
  6. Step 6: Final answer
    x = 619.82

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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.