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Finding the Fourth Proportional to 1,690.80, 2,537.50 and 1,105.64

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Solution

The fourth proportional to 1,690.80, 2,537.50 and 1,105.64 is: 1,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.80 : 2,537.50 = 1,105.64 : x
  2. Step 2: Convert to fraction form
    1,690.80/2,537.50 = 1,105.64/x
  3. Step 3: Cross multiply
    1,690.80x = 2,537.50 × 1,105.64
  4. Step 4: Simplify right side
    1,690.80x = 2,805,560.75
  5. Step 5: Solve for x
    x = 2,805,560.75/1,690.80
  6. Step 6: Final answer
    x = 1,659.31

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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.