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Finding the Fourth Proportional to 2,223.63, 3,336.11 and 663.68

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Solution

The fourth proportional to 2,223.63, 3,336.11 and 663.68 is: 995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.63 : 3,336.11 = 663.68 : x
  2. Step 2: Convert to fraction form
    2,223.63/3,336.11 = 663.68/x
  3. Step 3: Cross multiply
    2,223.63x = 3,336.11 × 663.68
  4. Step 4: Simplify right side
    2,223.63x = 2,214,089.49
  5. Step 5: Solve for x
    x = 2,214,089.49/2,223.63
  6. Step 6: Final answer
    x = 995.71

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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.