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Finding the Fourth Proportional to 823.27, 1,234.94 and 275.47

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Solution

The fourth proportional to 823.27, 1,234.94 and 275.47 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.27 : 1,234.94 = 275.47 : x
  2. Step 2: Convert to fraction form
    823.27/1,234.94 = 275.47/x
  3. Step 3: Cross multiply
    823.27x = 1,234.94 × 275.47
  4. Step 4: Simplify right side
    823.27x = 340,188.92
  5. Step 5: Solve for x
    x = 340,188.92/823.27
  6. Step 6: Final answer
    x = 413.22

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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.