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Finding the Fourth Proportional to 1,660.12, 2,489.39 and 966.99

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Solution

The fourth proportional to 1,660.12, 2,489.39 and 966.99 is: 1,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.12 : 2,489.39 = 966.99 : x
  2. Step 2: Convert to fraction form
    1,660.12/2,489.39 = 966.99/x
  3. Step 3: Cross multiply
    1,660.12x = 2,489.39 × 966.99
  4. Step 4: Simplify right side
    1,660.12x = 2,407,208.19
  5. Step 5: Solve for x
    x = 2,407,208.19/1,660.12
  6. Step 6: Final answer
    x = 1,450.02

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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.