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Finding the Fourth Proportional to 725.62, 1,087.21 and 400.00

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Solution

The fourth proportional to 725.62, 1,087.21 and 400.00 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.62 : 1,087.21 = 400.00 : x
  2. Step 2: Convert to fraction form
    725.62/1,087.21 = 400.00/x
  3. Step 3: Cross multiply
    725.62x = 1,087.21 × 400.00
  4. Step 4: Simplify right side
    725.62x = 434,880.28
  5. Step 5: Solve for x
    x = 434,880.28/725.62
  6. Step 6: Final answer
    x = 599.32

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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.