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Finding the Fourth Proportional to 1,997.45, 2,997.10 and 764.45

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Solution

The fourth proportional to 1,997.45, 2,997.10 and 764.45 is: 1,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.45 : 2,997.10 = 764.45 : x
  2. Step 2: Convert to fraction form
    1,997.45/2,997.10 = 764.45/x
  3. Step 3: Cross multiply
    1,997.45x = 2,997.10 × 764.45
  4. Step 4: Simplify right side
    1,997.45x = 2,291,133.10
  5. Step 5: Solve for x
    x = 2,291,133.10/1,997.45
  6. Step 6: Final answer
    x = 1,147.03

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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.