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Finding the Fourth Proportional to 664.34, 995.22 and 416.79

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Solution

The fourth proportional to 664.34, 995.22 and 416.79 is: 624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.34 : 995.22 = 416.79 : x
  2. Step 2: Convert to fraction form
    664.34/995.22 = 416.79/x
  3. Step 3: Cross multiply
    664.34x = 995.22 × 416.79
  4. Step 4: Simplify right side
    664.34x = 414,797.74
  5. Step 5: Solve for x
    x = 414,797.74/664.34
  6. Step 6: Final answer
    x = 624.38

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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.