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Finding the Fourth Proportional to 517.56, 714.30 and 330.96

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Solution

The fourth proportional to 517.56, 714.30 and 330.96 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 714.30 = 330.96 : x
  2. Step 2: Convert to fraction form
    517.56/714.30 = 330.96/x
  3. Step 3: Cross multiply
    517.56x = 714.30 × 330.96
  4. Step 4: Simplify right side
    517.56x = 236,404.73
  5. Step 5: Solve for x
    x = 236,404.73/517.56
  6. Step 6: Final answer
    x = 456.77

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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.