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Finding the Fourth Proportional to 2,240.37, 3,361.14 and 779.67

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Solution

The fourth proportional to 2,240.37, 3,361.14 and 779.67 is: 1,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.37 : 3,361.14 = 779.67 : x
  2. Step 2: Convert to fraction form
    2,240.37/3,361.14 = 779.67/x
  3. Step 3: Cross multiply
    2,240.37x = 3,361.14 × 779.67
  4. Step 4: Simplify right side
    2,240.37x = 2,620,580.02
  5. Step 5: Solve for x
    x = 2,620,580.02/2,240.37
  6. Step 6: Final answer
    x = 1,169.71

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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.