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Finding the Fourth Proportional to 452.32, 677.97 and 343.88

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Solution

The fourth proportional to 452.32, 677.97 and 343.88 is: 515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 677.97 = 343.88 : x
  2. Step 2: Convert to fraction form
    452.32/677.97 = 343.88/x
  3. Step 3: Cross multiply
    452.32x = 677.97 × 343.88
  4. Step 4: Simplify right side
    452.32x = 233,139.48
  5. Step 5: Solve for x
    x = 233,139.48/452.32
  6. Step 6: Final answer
    x = 515.43

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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.