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Finding the Fourth Proportional to 820.81, 1,231.06 and 272.92

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Solution

The fourth proportional to 820.81, 1,231.06 and 272.92 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.81 : 1,231.06 = 272.92 : x
  2. Step 2: Convert to fraction form
    820.81/1,231.06 = 272.92/x
  3. Step 3: Cross multiply
    820.81x = 1,231.06 × 272.92
  4. Step 4: Simplify right side
    820.81x = 335,980.90
  5. Step 5: Solve for x
    x = 335,980.90/820.81
  6. Step 6: Final answer
    x = 409.33

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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.