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Finding the Fourth Proportional to 664.58, 995.78 and 339.50

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Solution

The fourth proportional to 664.58, 995.78 and 339.50 is: 508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.58 : 995.78 = 339.50 : x
  2. Step 2: Convert to fraction form
    664.58/995.78 = 339.50/x
  3. Step 3: Cross multiply
    664.58x = 995.78 × 339.50
  4. Step 4: Simplify right side
    664.58x = 338,067.31
  5. Step 5: Solve for x
    x = 338,067.31/664.58
  6. Step 6: Final answer
    x = 508.69

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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.