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Finding the Fourth Proportional to 664.37, 995.94 and 298.79

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Solution

The fourth proportional to 664.37, 995.94 and 298.79 is: 447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.37 : 995.94 = 298.79 : x
  2. Step 2: Convert to fraction form
    664.37/995.94 = 298.79/x
  3. Step 3: Cross multiply
    664.37x = 995.94 × 298.79
  4. Step 4: Simplify right side
    664.37x = 297,576.91
  5. Step 5: Solve for x
    x = 297,576.91/664.37
  6. Step 6: Final answer
    x = 447.91

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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.