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Finding the Fourth Proportional to 1,659.88, 2,290.74 and 1,640.74

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Solution

The fourth proportional to 1,659.88, 2,290.74 and 1,640.74 is: 2,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.88 : 2,290.74 = 1,640.74 : x
  2. Step 2: Convert to fraction form
    1,659.88/2,290.74 = 1,640.74/x
  3. Step 3: Cross multiply
    1,659.88x = 2,290.74 × 1,640.74
  4. Step 4: Simplify right side
    1,659.88x = 3,758,508.75
  5. Step 5: Solve for x
    x = 3,758,508.75/1,659.88
  6. Step 6: Final answer
    x = 2,264.33

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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.