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Finding the Fourth Proportional to 725.21, 1,087.88 and 205.22

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Solution

The fourth proportional to 725.21, 1,087.88 and 205.22 is: 307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.21 : 1,087.88 = 205.22 : x
  2. Step 2: Convert to fraction form
    725.21/1,087.88 = 205.22/x
  3. Step 3: Cross multiply
    725.21x = 1,087.88 × 205.22
  4. Step 4: Simplify right side
    725.21x = 223,249.81
  5. Step 5: Solve for x
    x = 223,249.81/725.21
  6. Step 6: Final answer
    x = 307.84

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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.