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Finding the Fourth Proportional to 517.90, 774.60 and 379.48

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Solution

The fourth proportional to 517.90, 774.60 and 379.48 is: 567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.90 : 774.60 = 379.48 : x
  2. Step 2: Convert to fraction form
    517.90/774.60 = 379.48/x
  3. Step 3: Cross multiply
    517.90x = 774.60 × 379.48
  4. Step 4: Simplify right side
    517.90x = 293,945.21
  5. Step 5: Solve for x
    x = 293,945.21/517.90
  6. Step 6: Final answer
    x = 567.57

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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.