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Finding the Fourth Proportional to 681.97, 940.99 and 402.25

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Solution

The fourth proportional to 681.97, 940.99 and 402.25 is: 555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.97 : 940.99 = 402.25 : x
  2. Step 2: Convert to fraction form
    681.97/940.99 = 402.25/x
  3. Step 3: Cross multiply
    681.97x = 940.99 × 402.25
  4. Step 4: Simplify right side
    681.97x = 378,513.23
  5. Step 5: Solve for x
    x = 378,513.23/681.97
  6. Step 6: Final answer
    x = 555.03

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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.