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Finding the Fourth Proportional to 496.73, 685.22 and 316.94

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Solution

The fourth proportional to 496.73, 685.22 and 316.94 is: 437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.73 : 685.22 = 316.94 : x
  2. Step 2: Convert to fraction form
    496.73/685.22 = 316.94/x
  3. Step 3: Cross multiply
    496.73x = 685.22 × 316.94
  4. Step 4: Simplify right side
    496.73x = 217,168.62
  5. Step 5: Solve for x
    x = 217,168.62/496.73
  6. Step 6: Final answer
    x = 437.20

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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.