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Finding the Fourth Proportional to 682.57, 940.84 and 461.44

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Solution

The fourth proportional to 682.57, 940.84 and 461.44 is: 636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.57 : 940.84 = 461.44 : x
  2. Step 2: Convert to fraction form
    682.57/940.84 = 461.44/x
  3. Step 3: Cross multiply
    682.57x = 940.84 × 461.44
  4. Step 4: Simplify right side
    682.57x = 434,141.21
  5. Step 5: Solve for x
    x = 434,141.21/682.57
  6. Step 6: Final answer
    x = 636.04

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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.