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Finding the Fourth Proportional to 2,224.59, 3,336.74 and 664.59

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Solution

The fourth proportional to 2,224.59, 3,336.74 and 664.59 is: 996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.59 : 3,336.74 = 664.59 : x
  2. Step 2: Convert to fraction form
    2,224.59/3,336.74 = 664.59/x
  3. Step 3: Cross multiply
    2,224.59x = 3,336.74 × 664.59
  4. Step 4: Simplify right side
    2,224.59x = 2,217,560.71
  5. Step 5: Solve for x
    x = 2,217,560.71/2,224.59
  6. Step 6: Final answer
    x = 996.84

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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.