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Finding the Fourth Proportional to 2,309.87, 3,463.99 and 666.09

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Solution

The fourth proportional to 2,309.87, 3,463.99 and 666.09 is: 998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.87 : 3,463.99 = 666.09 : x
  2. Step 2: Convert to fraction form
    2,309.87/3,463.99 = 666.09/x
  3. Step 3: Cross multiply
    2,309.87x = 3,463.99 × 666.09
  4. Step 4: Simplify right side
    2,309.87x = 2,307,327.43
  5. Step 5: Solve for x
    x = 2,307,327.43/2,309.87
  6. Step 6: Final answer
    x = 998.90

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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.