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Finding the Fourth Proportional to 1,634.80, 2,452.38 and 480.55

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Solution

The fourth proportional to 1,634.80, 2,452.38 and 480.55 is: 720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.80 : 2,452.38 = 480.55 : x
  2. Step 2: Convert to fraction form
    1,634.80/2,452.38 = 480.55/x
  3. Step 3: Cross multiply
    1,634.80x = 2,452.38 × 480.55
  4. Step 4: Simplify right side
    1,634.80x = 1,178,491.21
  5. Step 5: Solve for x
    x = 1,178,491.21/1,634.80
  6. Step 6: Final answer
    x = 720.88

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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.