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Finding the Fourth Proportional to 664.44, 995.80 and 458.68

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Solution

The fourth proportional to 664.44, 995.80 and 458.68 is: 687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 995.80 = 458.68 : x
  2. Step 2: Convert to fraction form
    664.44/995.80 = 458.68/x
  3. Step 3: Cross multiply
    664.44x = 995.80 × 458.68
  4. Step 4: Simplify right side
    664.44x = 456,753.54
  5. Step 5: Solve for x
    x = 456,753.54/664.44
  6. Step 6: Final answer
    x = 687.43

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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.