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Finding the Fourth Proportional to 2,234.70, 3,352.68 and 774

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Solution

The fourth proportional to 2,234.70, 3,352.68 and 774 is: 1,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.70 : 3,352.68 = 774 : x
  2. Step 2: Convert to fraction form
    2,234.70/3,352.68 = 774/x
  3. Step 3: Cross multiply
    2,234.70x = 3,352.68 × 774
  4. Step 4: Simplify right side
    2,234.70x = 2,594,974.32
  5. Step 5: Solve for x
    x = 2,594,974.32/2,234.70
  6. Step 6: Final answer
    x = 1,161.22

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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.