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Finding the Fourth Proportional to 797.78, 1,187.27 and 768.62

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Solution

The fourth proportional to 797.78, 1,187.27 and 768.62 is: 1,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.78 : 1,187.27 = 768.62 : x
  2. Step 2: Convert to fraction form
    797.78/1,187.27 = 768.62/x
  3. Step 3: Cross multiply
    797.78x = 1,187.27 × 768.62
  4. Step 4: Simplify right side
    797.78x = 912,555.45
  5. Step 5: Solve for x
    x = 912,555.45/797.78
  6. Step 6: Final answer
    x = 1,143.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.