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Finding the Fourth Proportional to 1,028.36, 1,540.12 and 680.84

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Solution

The fourth proportional to 1,028.36, 1,540.12 and 680.84 is: 1,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.36 : 1,540.12 = 680.84 : x
  2. Step 2: Convert to fraction form
    1,028.36/1,540.12 = 680.84/x
  3. Step 3: Cross multiply
    1,028.36x = 1,540.12 × 680.84
  4. Step 4: Simplify right side
    1,028.36x = 1,048,575.30
  5. Step 5: Solve for x
    x = 1,048,575.30/1,028.36
  6. Step 6: Final answer
    x = 1,019.66

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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.