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Finding the Fourth Proportional to 1,997.65, 2,996.43 and 536.82

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Solution

The fourth proportional to 1,997.65, 2,996.43 and 536.82 is: 805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.65 : 2,996.43 = 536.82 : x
  2. Step 2: Convert to fraction form
    1,997.65/2,996.43 = 536.82/x
  3. Step 3: Cross multiply
    1,997.65x = 2,996.43 × 536.82
  4. Step 4: Simplify right side
    1,997.65x = 1,608,543.55
  5. Step 5: Solve for x
    x = 1,608,543.55/1,997.65
  6. Step 6: Final answer
    x = 805.22

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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.