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Finding the Fourth Proportional to 859.37, 1,183.22 and 758.31

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Solution

The fourth proportional to 859.37, 1,183.22 and 758.31 is: 1,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.37 : 1,183.22 = 758.31 : x
  2. Step 2: Convert to fraction form
    859.37/1,183.22 = 758.31/x
  3. Step 3: Cross multiply
    859.37x = 1,183.22 × 758.31
  4. Step 4: Simplify right side
    859.37x = 897,247.56
  5. Step 5: Solve for x
    x = 897,247.56/859.37
  6. Step 6: Final answer
    x = 1,044.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.