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Finding the Fourth Proportional to 681.44, 940.70 and 401.86

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Solution

The fourth proportional to 681.44, 940.70 and 401.86 is: 554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.44 : 940.70 = 401.86 : x
  2. Step 2: Convert to fraction form
    681.44/940.70 = 401.86/x
  3. Step 3: Cross multiply
    681.44x = 940.70 × 401.86
  4. Step 4: Simplify right side
    681.44x = 378,022.99
  5. Step 5: Solve for x
    x = 378,022.99/681.44
  6. Step 6: Final answer
    x = 554.74

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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.