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Finding the Fourth Proportional to 682.55, 1,022.78 and 316.91

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Solution

The fourth proportional to 682.55, 1,022.78 and 316.91 is: 474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.55 : 1,022.78 = 316.91 : x
  2. Step 2: Convert to fraction form
    682.55/1,022.78 = 316.91/x
  3. Step 3: Cross multiply
    682.55x = 1,022.78 × 316.91
  4. Step 4: Simplify right side
    682.55x = 324,122.51
  5. Step 5: Solve for x
    x = 324,122.51/682.55
  6. Step 6: Final answer
    x = 474.87

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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.