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Finding the Fourth Proportional to 822.20, 1,231.70 and 764.60

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Solution

The fourth proportional to 822.20, 1,231.70 and 764.60 is: 1,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.20 : 1,231.70 = 764.60 : x
  2. Step 2: Convert to fraction form
    822.20/1,231.70 = 764.60/x
  3. Step 3: Cross multiply
    822.20x = 1,231.70 × 764.60
  4. Step 4: Simplify right side
    822.20x = 941,757.82
  5. Step 5: Solve for x
    x = 941,757.82/822.20
  6. Step 6: Final answer
    x = 1,145.41

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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.