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Finding the Fourth Proportional to 823.05, 1,234.46 and 275.23

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Solution

The fourth proportional to 823.05, 1,234.46 and 275.23 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.05 : 1,234.46 = 275.23 : x
  2. Step 2: Convert to fraction form
    823.05/1,234.46 = 275.23/x
  3. Step 3: Cross multiply
    823.05x = 1,234.46 × 275.23
  4. Step 4: Simplify right side
    823.05x = 339,759.05
  5. Step 5: Solve for x
    x = 339,759.05/823.05
  6. Step 6: Final answer
    x = 412.80

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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.