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Finding the Fourth Proportional to 1,691.26, 2,536.90 and 665.26

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Solution

The fourth proportional to 1,691.26, 2,536.90 and 665.26 is: 997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.26 : 2,536.90 = 665.26 : x
  2. Step 2: Convert to fraction form
    1,691.26/2,536.90 = 665.26/x
  3. Step 3: Cross multiply
    1,691.26x = 2,536.90 × 665.26
  4. Step 4: Simplify right side
    1,691.26x = 1,687,698.09
  5. Step 5: Solve for x
    x = 1,687,698.09/1,691.26
  6. Step 6: Final answer
    x = 997.89

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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.