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Finding the Fourth Proportional to 682.00, 940.97 and 402.23

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Solution

The fourth proportional to 682.00, 940.97 and 402.23 is: 554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.00 : 940.97 = 402.23 : x
  2. Step 2: Convert to fraction form
    682.00/940.97 = 402.23/x
  3. Step 3: Cross multiply
    682.00x = 940.97 × 402.23
  4. Step 4: Simplify right side
    682.00x = 378,489.72
  5. Step 5: Solve for x
    x = 378,489.72/682.00
  6. Step 6: Final answer
    x = 554.97

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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.