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Finding the Fourth Proportional to 2,238.54, 3,357.84 and 777.73

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Solution

The fourth proportional to 2,238.54, 3,357.84 and 777.73 is: 1,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.54 : 3,357.84 = 777.73 : x
  2. Step 2: Convert to fraction form
    2,238.54/3,357.84 = 777.73/x
  3. Step 3: Cross multiply
    2,238.54x = 3,357.84 × 777.73
  4. Step 4: Simplify right side
    2,238.54x = 2,611,487.43
  5. Step 5: Solve for x
    x = 2,611,487.43/2,238.54
  6. Step 6: Final answer
    x = 1,166.60

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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.