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Finding the Fourth Proportional to 681.56, 940.16 and 401.75

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Solution

The fourth proportional to 681.56, 940.16 and 401.75 is: 554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.56 : 940.16 = 401.75 : x
  2. Step 2: Convert to fraction form
    681.56/940.16 = 401.75/x
  3. Step 3: Cross multiply
    681.56x = 940.16 × 401.75
  4. Step 4: Simplify right side
    681.56x = 377,704.58
  5. Step 5: Solve for x
    x = 377,704.58/681.56
  6. Step 6: Final answer
    x = 554.18

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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.