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Finding the Fourth Proportional to 517.17, 774.05 and 394.74

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Solution

The fourth proportional to 517.17, 774.05 and 394.74 is: 590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.17 : 774.05 = 394.74 : x
  2. Step 2: Convert to fraction form
    517.17/774.05 = 394.74/x
  3. Step 3: Cross multiply
    517.17x = 774.05 × 394.74
  4. Step 4: Simplify right side
    517.17x = 305,546.52
  5. Step 5: Solve for x
    x = 305,546.52/517.17
  6. Step 6: Final answer
    x = 590.80

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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.