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Finding the Fourth Proportional to 768.80, 1,150.80 and 552.80

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Solution

The fourth proportional to 768.80, 1,150.80 and 552.80 is: 827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.80 : 1,150.80 = 552.80 : x
  2. Step 2: Convert to fraction form
    768.80/1,150.80 = 552.80/x
  3. Step 3: Cross multiply
    768.80x = 1,150.80 × 552.80
  4. Step 4: Simplify right side
    768.80x = 636,162.24
  5. Step 5: Solve for x
    x = 636,162.24/768.80
  6. Step 6: Final answer
    x = 827.47

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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.