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Finding the Fourth Proportional to 682.81, 941.38 and 461.97

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Solution

The fourth proportional to 682.81, 941.38 and 461.97 is: 636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.81 : 941.38 = 461.97 : x
  2. Step 2: Convert to fraction form
    682.81/941.38 = 461.97/x
  3. Step 3: Cross multiply
    682.81x = 941.38 × 461.97
  4. Step 4: Simplify right side
    682.81x = 434,888.16
  5. Step 5: Solve for x
    x = 434,888.16/682.81
  6. Step 6: Final answer
    x = 636.91

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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.