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Finding the Fourth Proportional to 1,659.90, 2,290.32 and 996.63

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Solution

The fourth proportional to 1,659.90, 2,290.32 and 996.63 is: 1,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.90 : 2,290.32 = 996.63 : x
  2. Step 2: Convert to fraction form
    1,659.90/2,290.32 = 996.63/x
  3. Step 3: Cross multiply
    1,659.90x = 2,290.32 × 996.63
  4. Step 4: Simplify right side
    1,659.90x = 2,282,601.62
  5. Step 5: Solve for x
    x = 2,282,601.62/1,659.90
  6. Step 6: Final answer
    x = 1,375.14

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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.