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Finding the Fourth Proportional to 768.80, 1,112.60 and 768.80

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Solution

The fourth proportional to 768.80, 1,112.60 and 768.80 is: 1,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.80 : 1,112.60 = 768.80 : x
  2. Step 2: Convert to fraction form
    768.80/1,112.60 = 768.80/x
  3. Step 3: Cross multiply
    768.80x = 1,112.60 × 768.80
  4. Step 4: Simplify right side
    768.80x = 855,366.88
  5. Step 5: Solve for x
    x = 855,366.88/768.80
  6. Step 6: Final answer
    x = 1,112.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.