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Finding the Fourth Proportional to 820.85, 1,231.31 and 273.08

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Solution

The fourth proportional to 820.85, 1,231.31 and 273.08 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.85 : 1,231.31 = 273.08 : x
  2. Step 2: Convert to fraction form
    820.85/1,231.31 = 273.08/x
  3. Step 3: Cross multiply
    820.85x = 1,231.31 × 273.08
  4. Step 4: Simplify right side
    820.85x = 336,246.13
  5. Step 5: Solve for x
    x = 336,246.13/820.85
  6. Step 6: Final answer
    x = 409.63

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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.