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Finding the Fourth Proportional to 518.20, 714.85 and 331.49

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Solution

The fourth proportional to 518.20, 714.85 and 331.49 is: 457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.20 : 714.85 = 331.49 : x
  2. Step 2: Convert to fraction form
    518.20/714.85 = 331.49/x
  3. Step 3: Cross multiply
    518.20x = 714.85 × 331.49
  4. Step 4: Simplify right side
    518.20x = 236,965.63
  5. Step 5: Solve for x
    x = 236,965.63/518.20
  6. Step 6: Final answer
    x = 457.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.