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Finding the Fourth Proportional to 2,223.78, 3,336.03 and 684.78

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Solution

The fourth proportional to 2,223.78, 3,336.03 and 684.78 is: 1,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.78 : 3,336.03 = 684.78 : x
  2. Step 2: Convert to fraction form
    2,223.78/3,336.03 = 684.78/x
  3. Step 3: Cross multiply
    2,223.78x = 3,336.03 × 684.78
  4. Step 4: Simplify right side
    2,223.78x = 2,284,446.62
  5. Step 5: Solve for x
    x = 2,284,446.62/2,223.78
  6. Step 6: Final answer
    x = 1,027.28

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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.