Home / 820.25-1,229.96-272.24

Finding the Fourth Proportional to 820.25, 1,229.96 and 272.24

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Solution

The fourth proportional to 820.25, 1,229.96 and 272.24 is: 408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.25 : 1,229.96 = 272.24 : x
  2. Step 2: Convert to fraction form
    820.25/1,229.96 = 272.24/x
  3. Step 3: Cross multiply
    820.25x = 1,229.96 × 272.24
  4. Step 4: Simplify right side
    820.25x = 334,844.31
  5. Step 5: Solve for x
    x = 334,844.31/820.25
  6. Step 6: Final answer
    x = 408.22

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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.