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Finding the Fourth Proportional to 725.79, 1,086.26 and 644.79

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Solution

The fourth proportional to 725.79, 1,086.26 and 644.79 is: 965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.79 : 1,086.26 = 644.79 : x
  2. Step 2: Convert to fraction form
    725.79/1,086.26 = 644.79/x
  3. Step 3: Cross multiply
    725.79x = 1,086.26 × 644.79
  4. Step 4: Simplify right side
    725.79x = 700,406.36
  5. Step 5: Solve for x
    x = 700,406.36/725.79
  6. Step 6: Final answer
    x = 965.03

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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.