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Finding the Fourth Proportional to 452.52, 677.97 and 336.69

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Solution

The fourth proportional to 452.52, 677.97 and 336.69 is: 504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.52 : 677.97 = 336.69 : x
  2. Step 2: Convert to fraction form
    452.52/677.97 = 336.69/x
  3. Step 3: Cross multiply
    452.52x = 677.97 × 336.69
  4. Step 4: Simplify right side
    452.52x = 228,265.72
  5. Step 5: Solve for x
    x = 228,265.72/452.52
  6. Step 6: Final answer
    x = 504.43

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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.