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Finding the Fourth Proportional to 1,028.12, 1,546.12 and 820.38

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Solution

The fourth proportional to 1,028.12, 1,546.12 and 820.38 is: 1,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.12 : 1,546.12 = 820.38 : x
  2. Step 2: Convert to fraction form
    1,028.12/1,546.12 = 820.38/x
  3. Step 3: Cross multiply
    1,028.12x = 1,546.12 × 820.38
  4. Step 4: Simplify right side
    1,028.12x = 1,268,405.93
  5. Step 5: Solve for x
    x = 1,268,405.93/1,028.12
  6. Step 6: Final answer
    x = 1,233.71

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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.