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Finding the Fourth Proportional to 1,997.32, 2,995.40 and 764.64

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Solution

The fourth proportional to 1,997.32, 2,995.40 and 764.64 is: 1,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.32 : 2,995.40 = 764.64 : x
  2. Step 2: Convert to fraction form
    1,997.32/2,995.40 = 764.64/x
  3. Step 3: Cross multiply
    1,997.32x = 2,995.40 × 764.64
  4. Step 4: Simplify right side
    1,997.32x = 2,290,387.68
  5. Step 5: Solve for x
    x = 2,290,387.68/1,997.32
  6. Step 6: Final answer
    x = 1,146.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.