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Finding the Fourth Proportional to 725.70, 1,086.92 and 436.54

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Solution

The fourth proportional to 725.70, 1,086.92 and 436.54 is: 653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.70 : 1,086.92 = 436.54 : x
  2. Step 2: Convert to fraction form
    725.70/1,086.92 = 436.54/x
  3. Step 3: Cross multiply
    725.70x = 1,086.92 × 436.54
  4. Step 4: Simplify right side
    725.70x = 474,484.06
  5. Step 5: Solve for x
    x = 474,484.06/725.70
  6. Step 6: Final answer
    x = 653.83

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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.