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Finding the Fourth Proportional to 496.39, 685.32 and 330.85

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Solution

The fourth proportional to 496.39, 685.32 and 330.85 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.39 : 685.32 = 330.85 : x
  2. Step 2: Convert to fraction form
    496.39/685.32 = 330.85/x
  3. Step 3: Cross multiply
    496.39x = 685.32 × 330.85
  4. Step 4: Simplify right side
    496.39x = 226,738.12
  5. Step 5: Solve for x
    x = 226,738.12/496.39
  6. Step 6: Final answer
    x = 456.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.