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Finding the Fourth Proportional to 496.95, 685.31 and 319.73

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Solution

The fourth proportional to 496.95, 685.31 and 319.73 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.95 : 685.31 = 319.73 : x
  2. Step 2: Convert to fraction form
    496.95/685.31 = 319.73/x
  3. Step 3: Cross multiply
    496.95x = 685.31 × 319.73
  4. Step 4: Simplify right side
    496.95x = 219,109.94
  5. Step 5: Solve for x
    x = 219,109.94/496.95
  6. Step 6: Final answer
    x = 440.91

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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.