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Finding the Fourth Proportional to 717.98, 1,077.01 and 255.78

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Solution

The fourth proportional to 717.98, 1,077.01 and 255.78 is: 383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.98 : 1,077.01 = 255.78 : x
  2. Step 2: Convert to fraction form
    717.98/1,077.01 = 255.78/x
  3. Step 3: Cross multiply
    717.98x = 1,077.01 × 255.78
  4. Step 4: Simplify right side
    717.98x = 275,476.98
  5. Step 5: Solve for x
    x = 275,476.98/717.98
  6. Step 6: Final answer
    x = 383.69

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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.