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Finding the Fourth Proportional to 517.14, 774.94 and 407.72

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Solution

The fourth proportional to 517.14, 774.94 and 407.72 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.14 : 774.94 = 407.72 : x
  2. Step 2: Convert to fraction form
    517.14/774.94 = 407.72/x
  3. Step 3: Cross multiply
    517.14x = 774.94 × 407.72
  4. Step 4: Simplify right side
    517.14x = 315,958.61
  5. Step 5: Solve for x
    x = 315,958.61/517.14
  6. Step 6: Final answer
    x = 610.97

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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.