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Finding the Fourth Proportional to 682.22, 941.28 and 461.18

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Solution

The fourth proportional to 682.22, 941.28 and 461.18 is: 636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.22 : 941.28 = 461.18 : x
  2. Step 2: Convert to fraction form
    682.22/941.28 = 461.18/x
  3. Step 3: Cross multiply
    682.22x = 941.28 × 461.18
  4. Step 4: Simplify right side
    682.22x = 434,099.51
  5. Step 5: Solve for x
    x = 434,099.51/682.22
  6. Step 6: Final answer
    x = 636.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.