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Finding the Fourth Proportional to 725.34, 1,086.12 and 400.26

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Solution

The fourth proportional to 725.34, 1,086.12 and 400.26 is: 599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.34 : 1,086.12 = 400.26 : x
  2. Step 2: Convert to fraction form
    725.34/1,086.12 = 400.26/x
  3. Step 3: Cross multiply
    725.34x = 1,086.12 × 400.26
  4. Step 4: Simplify right side
    725.34x = 434,730.39
  5. Step 5: Solve for x
    x = 434,730.39/725.34
  6. Step 6: Final answer
    x = 599.35

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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.