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Finding the Fourth Proportional to 1,789.20, 2,681.97 and 634.14

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Solution

The fourth proportional to 1,789.20, 2,681.97 and 634.14 is: 950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.20 : 2,681.97 = 634.14 : x
  2. Step 2: Convert to fraction form
    1,789.20/2,681.97 = 634.14/x
  3. Step 3: Cross multiply
    1,789.20x = 2,681.97 × 634.14
  4. Step 4: Simplify right side
    1,789.20x = 1,700,744.46
  5. Step 5: Solve for x
    x = 1,700,744.46/1,789.20
  6. Step 6: Final answer
    x = 950.56

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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.