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Finding the Fourth Proportional to 517.28, 714.09 and 330.80

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Solution

The fourth proportional to 517.28, 714.09 and 330.80 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.28 : 714.09 = 330.80 : x
  2. Step 2: Convert to fraction form
    517.28/714.09 = 330.80/x
  3. Step 3: Cross multiply
    517.28x = 714.09 × 330.80
  4. Step 4: Simplify right side
    517.28x = 236,220.97
  5. Step 5: Solve for x
    x = 236,220.97/517.28
  6. Step 6: Final answer
    x = 456.66

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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.