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Finding the Fourth Proportional to 725.52, 1,086.55 and 416.43

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Solution

The fourth proportional to 725.52, 1,086.55 and 416.43 is: 623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.52 : 1,086.55 = 416.43 : x
  2. Step 2: Convert to fraction form
    725.52/1,086.55 = 416.43/x
  3. Step 3: Cross multiply
    725.52x = 1,086.55 × 416.43
  4. Step 4: Simplify right side
    725.52x = 452,470.98
  5. Step 5: Solve for x
    x = 452,470.98/725.52
  6. Step 6: Final answer
    x = 623.65

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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.