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Finding the Fourth Proportional to 682.22, 941.10 and 472.60

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Solution

The fourth proportional to 682.22, 941.10 and 472.60 is: 651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.22 : 941.10 = 472.60 : x
  2. Step 2: Convert to fraction form
    682.22/941.10 = 472.60/x
  3. Step 3: Cross multiply
    682.22x = 941.10 × 472.60
  4. Step 4: Simplify right side
    682.22x = 444,763.86
  5. Step 5: Solve for x
    x = 444,763.86/682.22
  6. Step 6: Final answer
    x = 651.94

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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.