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Finding the Fourth Proportional to 1,829.20, 2,743.98 and 674.68

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Solution

The fourth proportional to 1,829.20, 2,743.98 and 674.68 is: 1,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.20 : 2,743.98 = 674.68 : x
  2. Step 2: Convert to fraction form
    1,829.20/2,743.98 = 674.68/x
  3. Step 3: Cross multiply
    1,829.20x = 2,743.98 × 674.68
  4. Step 4: Simplify right side
    1,829.20x = 1,851,308.43
  5. Step 5: Solve for x
    x = 1,851,308.43/1,829.20
  6. Step 6: Final answer
    x = 1,012.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.