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Finding the Fourth Proportional to 681.40, 940.12 and 401.54

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Solution

The fourth proportional to 681.40, 940.12 and 401.54 is: 553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.40 : 940.12 = 401.54 : x
  2. Step 2: Convert to fraction form
    681.40/940.12 = 401.54/x
  3. Step 3: Cross multiply
    681.40x = 940.12 × 401.54
  4. Step 4: Simplify right side
    681.40x = 377,490.08
  5. Step 5: Solve for x
    x = 377,490.08/681.40
  6. Step 6: Final answer
    x = 553.99

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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.