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Finding the Fourth Proportional to 453.76, 679.96 and 338.04

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Solution

The fourth proportional to 453.76, 679.96 and 338.04 is: 506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.76 : 679.96 = 338.04 : x
  2. Step 2: Convert to fraction form
    453.76/679.96 = 338.04/x
  3. Step 3: Cross multiply
    453.76x = 679.96 × 338.04
  4. Step 4: Simplify right side
    453.76x = 229,853.68
  5. Step 5: Solve for x
    x = 229,853.68/453.76
  6. Step 6: Final answer
    x = 506.55

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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.