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Finding the Fourth Proportional to 1,694.14, 2,540.70 and 654.08

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Solution

The fourth proportional to 1,694.14, 2,540.70 and 654.08 is: 980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.14 : 2,540.70 = 654.08 : x
  2. Step 2: Convert to fraction form
    1,694.14/2,540.70 = 654.08/x
  3. Step 3: Cross multiply
    1,694.14x = 2,540.70 × 654.08
  4. Step 4: Simplify right side
    1,694.14x = 1,661,808.35
  5. Step 5: Solve for x
    x = 1,661,808.35/1,694.14
  6. Step 6: Final answer
    x = 980.92

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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.