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Finding the Fourth Proportional to 517.49, 773.28 and 393.41

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Solution

The fourth proportional to 517.49, 773.28 and 393.41 is: 587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.49 : 773.28 = 393.41 : x
  2. Step 2: Convert to fraction form
    517.49/773.28 = 393.41/x
  3. Step 3: Cross multiply
    517.49x = 773.28 × 393.41
  4. Step 4: Simplify right side
    517.49x = 304,218.76
  5. Step 5: Solve for x
    x = 304,218.76/517.49
  6. Step 6: Final answer
    x = 587.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.