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Finding the Fourth Proportional to 1,659.93, 2,489.86 and 966.22

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Solution

The fourth proportional to 1,659.93, 2,489.86 and 966.22 is: 1,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.93 : 2,489.86 = 966.22 : x
  2. Step 2: Convert to fraction form
    1,659.93/2,489.86 = 966.22/x
  3. Step 3: Cross multiply
    1,659.93x = 2,489.86 × 966.22
  4. Step 4: Simplify right side
    1,659.93x = 2,405,752.53
  5. Step 5: Solve for x
    x = 2,405,752.53/1,659.93
  6. Step 6: Final answer
    x = 1,449.31

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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.