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Finding the Fourth Proportional to 496.73, 685.81 and 319.77

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Solution

The fourth proportional to 496.73, 685.81 and 319.77 is: 441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.73 : 685.81 = 319.77 : x
  2. Step 2: Convert to fraction form
    496.73/685.81 = 319.77/x
  3. Step 3: Cross multiply
    496.73x = 685.81 × 319.77
  4. Step 4: Simplify right side
    496.73x = 219,301.46
  5. Step 5: Solve for x
    x = 219,301.46/496.73
  6. Step 6: Final answer
    x = 441.49

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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.