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Finding the Fourth Proportional to 681.97, 940.80 and 402.11

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Solution

The fourth proportional to 681.97, 940.80 and 402.11 is: 554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.97 : 940.80 = 402.11 : x
  2. Step 2: Convert to fraction form
    681.97/940.80 = 402.11/x
  3. Step 3: Cross multiply
    681.97x = 940.80 × 402.11
  4. Step 4: Simplify right side
    681.97x = 378,303.08
  5. Step 5: Solve for x
    x = 378,303.08/681.97
  6. Step 6: Final answer
    x = 554.73

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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.