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Finding the Fourth Proportional to 725.85, 1,086.01 and 401.45

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Solution

The fourth proportional to 725.85, 1,086.01 and 401.45 is: 600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.85 : 1,086.01 = 401.45 : x
  2. Step 2: Convert to fraction form
    725.85/1,086.01 = 401.45/x
  3. Step 3: Cross multiply
    725.85x = 1,086.01 × 401.45
  4. Step 4: Simplify right side
    725.85x = 435,972.28
  5. Step 5: Solve for x
    x = 435,972.28/725.85
  6. Step 6: Final answer
    x = 600.64

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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.