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Finding the Fourth Proportional to 518.15, 714.96 and 331.80

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Solution

The fourth proportional to 518.15, 714.96 and 331.80 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.15 : 714.96 = 331.80 : x
  2. Step 2: Convert to fraction form
    518.15/714.96 = 331.80/x
  3. Step 3: Cross multiply
    518.15x = 714.96 × 331.80
  4. Step 4: Simplify right side
    518.15x = 237,223.73
  5. Step 5: Solve for x
    x = 237,223.73/518.15
  6. Step 6: Final answer
    x = 457.83

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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.