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Finding the Fourth Proportional to 682.05, 1,022.89 and 316.48

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Solution

The fourth proportional to 682.05, 1,022.89 and 316.48 is: 474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.05 : 1,022.89 = 316.48 : x
  2. Step 2: Convert to fraction form
    682.05/1,022.89 = 316.48/x
  3. Step 3: Cross multiply
    682.05x = 1,022.89 × 316.48
  4. Step 4: Simplify right side
    682.05x = 323,724.23
  5. Step 5: Solve for x
    x = 323,724.23/682.05
  6. Step 6: Final answer
    x = 474.63

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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.