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Finding the Fourth Proportional to 681.42, 940.34 and 397.82

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Solution

The fourth proportional to 681.42, 940.34 and 397.82 is: 548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.42 : 940.34 = 397.82 : x
  2. Step 2: Convert to fraction form
    681.42/940.34 = 397.82/x
  3. Step 3: Cross multiply
    681.42x = 940.34 × 397.82
  4. Step 4: Simplify right side
    681.42x = 374,086.06
  5. Step 5: Solve for x
    x = 374,086.06/681.42
  6. Step 6: Final answer
    x = 548.98

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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.