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Finding the Fourth Proportional to 664.20, 996.33 and 339.48

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Solution

The fourth proportional to 664.20, 996.33 and 339.48 is: 509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 996.33 = 339.48 : x
  2. Step 2: Convert to fraction form
    664.20/996.33 = 339.48/x
  3. Step 3: Cross multiply
    664.20x = 996.33 × 339.48
  4. Step 4: Simplify right side
    664.20x = 338,234.11
  5. Step 5: Solve for x
    x = 338,234.11/664.20
  6. Step 6: Final answer
    x = 509.24

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Double scale
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Similar ratio
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1.5x scale

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.