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Finding the Fourth Proportional to 1,454.24, 2,179.56 and 683.12

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Solution

The fourth proportional to 1,454.24, 2,179.56 and 683.12 is: 1,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.24 : 2,179.56 = 683.12 : x
  2. Step 2: Convert to fraction form
    1,454.24/2,179.56 = 683.12/x
  3. Step 3: Cross multiply
    1,454.24x = 2,179.56 × 683.12
  4. Step 4: Simplify right side
    1,454.24x = 1,488,901.03
  5. Step 5: Solve for x
    x = 1,488,901.03/1,454.24
  6. Step 6: Final answer
    x = 1,023.83

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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.