Home / 2,257.39-3,385.24-776.19

Finding the Fourth Proportional to 2,257.39, 3,385.24 and 776.19

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Solution

The fourth proportional to 2,257.39, 3,385.24 and 776.19 is: 1,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.39 : 3,385.24 = 776.19 : x
  2. Step 2: Convert to fraction form
    2,257.39/3,385.24 = 776.19/x
  3. Step 3: Cross multiply
    2,257.39x = 3,385.24 × 776.19
  4. Step 4: Simplify right side
    2,257.39x = 2,627,589.44
  5. Step 5: Solve for x
    x = 2,627,589.44/2,257.39
  6. Step 6: Final answer
    x = 1,163.99

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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.