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Finding the Fourth Proportional to 883.10, 1,324.86 and 298.09

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Solution

The fourth proportional to 883.10, 1,324.86 and 298.09 is: 447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.10 : 1,324.86 = 298.09 : x
  2. Step 2: Convert to fraction form
    883.10/1,324.86 = 298.09/x
  3. Step 3: Cross multiply
    883.10x = 1,324.86 × 298.09
  4. Step 4: Simplify right side
    883.10x = 394,930.39
  5. Step 5: Solve for x
    x = 394,930.39/883.10
  6. Step 6: Final answer
    x = 447.21

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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.