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Finding the Fourth Proportional to 1,686.43, 2,529.61 and 453.97

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Solution

The fourth proportional to 1,686.43, 2,529.61 and 453.97 is: 680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.43 : 2,529.61 = 453.97 : x
  2. Step 2: Convert to fraction form
    1,686.43/2,529.61 = 453.97/x
  3. Step 3: Cross multiply
    1,686.43x = 2,529.61 × 453.97
  4. Step 4: Simplify right side
    1,686.43x = 1,148,367.05
  5. Step 5: Solve for x
    x = 1,148,367.05/1,686.43
  6. Step 6: Final answer
    x = 680.95

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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.