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Finding the Fourth Proportional to 682.22, 1,022.83 and 316.78

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Solution

The fourth proportional to 682.22, 1,022.83 and 316.78 is: 474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.22 : 1,022.83 = 316.78 : x
  2. Step 2: Convert to fraction form
    682.22/1,022.83 = 316.78/x
  3. Step 3: Cross multiply
    682.22x = 1,022.83 × 316.78
  4. Step 4: Simplify right side
    682.22x = 324,008.74
  5. Step 5: Solve for x
    x = 324,008.74/682.22
  6. Step 6: Final answer
    x = 474.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.