Home / 820.06-1,229.78-272.14

Finding the Fourth Proportional to 820.06, 1,229.78 and 272.14

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Solution

The fourth proportional to 820.06, 1,229.78 and 272.14 is: 408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.06 : 1,229.78 = 272.14 : x
  2. Step 2: Convert to fraction form
    820.06/1,229.78 = 272.14/x
  3. Step 3: Cross multiply
    820.06x = 1,229.78 × 272.14
  4. Step 4: Simplify right side
    820.06x = 334,672.33
  5. Step 5: Solve for x
    x = 334,672.33/820.06
  6. Step 6: Final answer
    x = 408.11

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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.