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Finding the Fourth Proportional to 725.20, 1,086.72 and 596.10

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Solution

The fourth proportional to 725.20, 1,086.72 and 596.10 is: 893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.20 : 1,086.72 = 596.10 : x
  2. Step 2: Convert to fraction form
    725.20/1,086.72 = 596.10/x
  3. Step 3: Cross multiply
    725.20x = 1,086.72 × 596.10
  4. Step 4: Simplify right side
    725.20x = 647,795.63
  5. Step 5: Solve for x
    x = 647,795.63/725.20
  6. Step 6: Final answer
    x = 893.27

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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.