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Finding the Fourth Proportional to 823.11, 1,234.40 and 275.28

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Solution

The fourth proportional to 823.11, 1,234.40 and 275.28 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.11 : 1,234.40 = 275.28 : x
  2. Step 2: Convert to fraction form
    823.11/1,234.40 = 275.28/x
  3. Step 3: Cross multiply
    823.11x = 1,234.40 × 275.28
  4. Step 4: Simplify right side
    823.11x = 339,804.26
  5. Step 5: Solve for x
    x = 339,804.26/823.11
  6. Step 6: Final answer
    x = 412.83

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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.