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Finding the Fourth Proportional to 717.44, 1,076.32 and 255.22

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Solution

The fourth proportional to 717.44, 1,076.32 and 255.22 is: 382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.44 : 1,076.32 = 255.22 : x
  2. Step 2: Convert to fraction form
    717.44/1,076.32 = 255.22/x
  3. Step 3: Cross multiply
    717.44x = 1,076.32 × 255.22
  4. Step 4: Simplify right side
    717.44x = 274,699.87
  5. Step 5: Solve for x
    x = 274,699.87/717.44
  6. Step 6: Final answer
    x = 382.89

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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.