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Finding the Fourth Proportional to 481.22, 725.81 and 424.15

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Solution

The fourth proportional to 481.22, 725.81 and 424.15 is: 639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.22 : 725.81 = 424.15 : x
  2. Step 2: Convert to fraction form
    481.22/725.81 = 424.15/x
  3. Step 3: Cross multiply
    481.22x = 725.81 × 424.15
  4. Step 4: Simplify right side
    481.22x = 307,851.56
  5. Step 5: Solve for x
    x = 307,851.56/481.22
  6. Step 6: Final answer
    x = 639.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.