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Finding the Fourth Proportional to 517.24, 713.45 and 330.66

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Solution

The fourth proportional to 517.24, 713.45 and 330.66 is: 456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 713.45 = 330.66 : x
  2. Step 2: Convert to fraction form
    517.24/713.45 = 330.66/x
  3. Step 3: Cross multiply
    517.24x = 713.45 × 330.66
  4. Step 4: Simplify right side
    517.24x = 235,910.20
  5. Step 5: Solve for x
    x = 235,910.20/517.24
  6. Step 6: Final answer
    x = 456.09

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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.