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Finding the Fourth Proportional to 725.53, 1,087.41 and 286.34

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Solution

The fourth proportional to 725.53, 1,087.41 and 286.34 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.53 : 1,087.41 = 286.34 : x
  2. Step 2: Convert to fraction form
    725.53/1,087.41 = 286.34/x
  3. Step 3: Cross multiply
    725.53x = 1,087.41 × 286.34
  4. Step 4: Simplify right side
    725.53x = 311,367.55
  5. Step 5: Solve for x
    x = 311,367.55/725.53
  6. Step 6: Final answer
    x = 429.16

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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.