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Finding the Fourth Proportional to 874.17, 1,206.43 and 481.27

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Solution

The fourth proportional to 874.17, 1,206.43 and 481.27 is: 664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.17 : 1,206.43 = 481.27 : x
  2. Step 2: Convert to fraction form
    874.17/1,206.43 = 481.27/x
  3. Step 3: Cross multiply
    874.17x = 1,206.43 × 481.27
  4. Step 4: Simplify right side
    874.17x = 580,618.57
  5. Step 5: Solve for x
    x = 580,618.57/874.17
  6. Step 6: Final answer
    x = 664.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.