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Finding the Fourth Proportional to 452.52, 675.09 and 439.97

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Solution

The fourth proportional to 452.52, 675.09 and 439.97 is: 656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.52 : 675.09 = 439.97 : x
  2. Step 2: Convert to fraction form
    452.52/675.09 = 439.97/x
  3. Step 3: Cross multiply
    452.52x = 675.09 × 439.97
  4. Step 4: Simplify right side
    452.52x = 297,015.97
  5. Step 5: Solve for x
    x = 297,015.97/452.52
  6. Step 6: Final answer
    x = 656.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.