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Finding the Fourth Proportional to 452.60, 679.66 and 280.27

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Solution

The fourth proportional to 452.60, 679.66 and 280.27 is: 420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.60 : 679.66 = 280.27 : x
  2. Step 2: Convert to fraction form
    452.60/679.66 = 280.27/x
  3. Step 3: Cross multiply
    452.60x = 679.66 × 280.27
  4. Step 4: Simplify right side
    452.60x = 190,488.46
  5. Step 5: Solve for x
    x = 190,488.46/452.60
  6. Step 6: Final answer
    x = 420.88

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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.