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Finding the Fourth Proportional to 453.52, 680.28 and 381.70

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Solution

The fourth proportional to 453.52, 680.28 and 381.70 is: 572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 680.28 = 381.70 : x
  2. Step 2: Convert to fraction form
    453.52/680.28 = 381.70/x
  3. Step 3: Cross multiply
    453.52x = 680.28 × 381.70
  4. Step 4: Simplify right side
    453.52x = 259,662.88
  5. Step 5: Solve for x
    x = 259,662.88/453.52
  6. Step 6: Final answer
    x = 572.55

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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.