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Finding the Fourth Proportional to 1,228.42, 1,840.78 and 680.73

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Solution

The fourth proportional to 1,228.42, 1,840.78 and 680.73 is: 1,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.42 : 1,840.78 = 680.73 : x
  2. Step 2: Convert to fraction form
    1,228.42/1,840.78 = 680.73/x
  3. Step 3: Cross multiply
    1,228.42x = 1,840.78 × 680.73
  4. Step 4: Simplify right side
    1,228.42x = 1,253,074.17
  5. Step 5: Solve for x
    x = 1,253,074.17/1,228.42
  6. Step 6: Final answer
    x = 1,020.07

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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.