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Finding the Fourth Proportional to 2,309.22, 3,462.84 and 665.37

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Solution

The fourth proportional to 2,309.22, 3,462.84 and 665.37 is: 997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.22 : 3,462.84 = 665.37 : x
  2. Step 2: Convert to fraction form
    2,309.22/3,462.84 = 665.37/x
  3. Step 3: Cross multiply
    2,309.22x = 3,462.84 × 665.37
  4. Step 4: Simplify right side
    2,309.22x = 2,304,069.85
  5. Step 5: Solve for x
    x = 2,304,069.85/2,309.22
  6. Step 6: Final answer
    x = 997.77

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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.