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Finding the Fourth Proportional to 872.68, 1,204.27 and 494.56

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Solution

The fourth proportional to 872.68, 1,204.27 and 494.56 is: 682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.68 : 1,204.27 = 494.56 : x
  2. Step 2: Convert to fraction form
    872.68/1,204.27 = 494.56/x
  3. Step 3: Cross multiply
    872.68x = 1,204.27 × 494.56
  4. Step 4: Simplify right side
    872.68x = 595,583.77
  5. Step 5: Solve for x
    x = 595,583.77/872.68
  6. Step 6: Final answer
    x = 682.48

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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.