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Finding the Fourth Proportional to 682.25, 1,022.97 and 291.97

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Solution

The fourth proportional to 682.25, 1,022.97 and 291.97 is: 437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.25 : 1,022.97 = 291.97 : x
  2. Step 2: Convert to fraction form
    682.25/1,022.97 = 291.97/x
  3. Step 3: Cross multiply
    682.25x = 1,022.97 × 291.97
  4. Step 4: Simplify right side
    682.25x = 298,671.44
  5. Step 5: Solve for x
    x = 298,671.44/682.25
  6. Step 6: Final answer
    x = 437.77

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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.