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Finding the Fourth Proportional to 725.25, 1,086.62 and 416.34

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Solution

The fourth proportional to 725.25, 1,086.62 and 416.34 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.25 : 1,086.62 = 416.34 : x
  2. Step 2: Convert to fraction form
    725.25/1,086.62 = 416.34/x
  3. Step 3: Cross multiply
    725.25x = 1,086.62 × 416.34
  4. Step 4: Simplify right side
    725.25x = 452,401.29
  5. Step 5: Solve for x
    x = 452,401.29/725.25
  6. Step 6: Final answer
    x = 623.78

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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.