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Finding the Fourth Proportional to 682.37, 941.14 and 461.27

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Solution

The fourth proportional to 682.37, 941.14 and 461.27 is: 636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.37 : 941.14 = 461.27 : x
  2. Step 2: Convert to fraction form
    682.37/941.14 = 461.27/x
  3. Step 3: Cross multiply
    682.37x = 941.14 × 461.27
  4. Step 4: Simplify right side
    682.37x = 434,120.85
  5. Step 5: Solve for x
    x = 434,120.85/682.37
  6. Step 6: Final answer
    x = 636.20

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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.