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Finding the Fourth Proportional to 1,493.73, 2,240.52 and 453.72

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Solution

The fourth proportional to 1,493.73, 2,240.52 and 453.72 is: 680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.73 : 2,240.52 = 453.72 : x
  2. Step 2: Convert to fraction form
    1,493.73/2,240.52 = 453.72/x
  3. Step 3: Cross multiply
    1,493.73x = 2,240.52 × 453.72
  4. Step 4: Simplify right side
    1,493.73x = 1,016,568.73
  5. Step 5: Solve for x
    x = 1,016,568.73/1,493.73
  6. Step 6: Final answer
    x = 680.56

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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.