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Finding the Fourth Proportional to 452.26, 677.46 and 349.18

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Solution

The fourth proportional to 452.26, 677.46 and 349.18 is: 523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.26 : 677.46 = 349.18 : x
  2. Step 2: Convert to fraction form
    452.26/677.46 = 349.18/x
  3. Step 3: Cross multiply
    452.26x = 677.46 × 349.18
  4. Step 4: Simplify right side
    452.26x = 236,555.48
  5. Step 5: Solve for x
    x = 236,555.48/452.26
  6. Step 6: Final answer
    x = 523.05

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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.