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Finding the Fourth Proportional to 664.08, 995.74 and 273.62

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Solution

The fourth proportional to 664.08, 995.74 and 273.62 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.08 : 995.74 = 273.62 : x
  2. Step 2: Convert to fraction form
    664.08/995.74 = 273.62/x
  3. Step 3: Cross multiply
    664.08x = 995.74 × 273.62
  4. Step 4: Simplify right side
    664.08x = 272,454.38
  5. Step 5: Solve for x
    x = 272,454.38/664.08
  6. Step 6: Final answer
    x = 410.27

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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.