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Finding the Fourth Proportional to 1,319.73, 1,979.81 and 453.84

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Solution

The fourth proportional to 1,319.73, 1,979.81 and 453.84 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.73 : 1,979.81 = 453.84 : x
  2. Step 2: Convert to fraction form
    1,319.73/1,979.81 = 453.84/x
  3. Step 3: Cross multiply
    1,319.73x = 1,979.81 × 453.84
  4. Step 4: Simplify right side
    1,319.73x = 898,516.97
  5. Step 5: Solve for x
    x = 898,516.97/1,319.73
  6. Step 6: Final answer
    x = 680.83

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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.