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Finding the Fourth Proportional to 2,231.73, 3,346.74 and 770.49

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Solution

The fourth proportional to 2,231.73, 3,346.74 and 770.49 is: 1,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.73 : 3,346.74 = 770.49 : x
  2. Step 2: Convert to fraction form
    2,231.73/3,346.74 = 770.49/x
  3. Step 3: Cross multiply
    2,231.73x = 3,346.74 × 770.49
  4. Step 4: Simplify right side
    2,231.73x = 2,578,629.70
  5. Step 5: Solve for x
    x = 2,578,629.70/2,231.73
  6. Step 6: Final answer
    x = 1,155.44

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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.