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Finding the Fourth Proportional to 517.31, 774.57 and 379.31

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Solution

The fourth proportional to 517.31, 774.57 and 379.31 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 774.57 = 379.31 : x
  2. Step 2: Convert to fraction form
    517.31/774.57 = 379.31/x
  3. Step 3: Cross multiply
    517.31x = 774.57 × 379.31
  4. Step 4: Simplify right side
    517.31x = 293,802.15
  5. Step 5: Solve for x
    x = 293,802.15/517.31
  6. Step 6: Final answer
    x = 567.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.