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Finding the Fourth Proportional to 1,997.61, 2,996.21 and 536.91

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Solution

The fourth proportional to 1,997.61, 2,996.21 and 536.91 is: 805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.61 : 2,996.21 = 536.91 : x
  2. Step 2: Convert to fraction form
    1,997.61/2,996.21 = 536.91/x
  3. Step 3: Cross multiply
    1,997.61x = 2,996.21 × 536.91
  4. Step 4: Simplify right side
    1,997.61x = 1,608,692.43
  5. Step 5: Solve for x
    x = 1,608,692.43/1,997.61
  6. Step 6: Final answer
    x = 805.31

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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.