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Finding the Fourth Proportional to 2,223.62, 3,335.73 and 663.68

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Solution

The fourth proportional to 2,223.62, 3,335.73 and 663.68 is: 995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.62 : 3,335.73 = 663.68 : x
  2. Step 2: Convert to fraction form
    2,223.62/3,335.73 = 663.68/x
  3. Step 3: Cross multiply
    2,223.62x = 3,335.73 × 663.68
  4. Step 4: Simplify right side
    2,223.62x = 2,213,866.87
  5. Step 5: Solve for x
    x = 2,213,866.87/2,223.62
  6. Step 6: Final answer
    x = 995.61

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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.