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Finding the Fourth Proportional to 1,659.23, 2,288.97 and 994.94

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Solution

The fourth proportional to 1,659.23, 2,288.97 and 994.94 is: 1,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.23 : 2,288.97 = 994.94 : x
  2. Step 2: Convert to fraction form
    1,659.23/2,288.97 = 994.94/x
  3. Step 3: Cross multiply
    1,659.23x = 2,288.97 × 994.94
  4. Step 4: Simplify right side
    1,659.23x = 2,277,376.37
  5. Step 5: Solve for x
    x = 2,277,376.37/1,659.23
  6. Step 6: Final answer
    x = 1,372.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.