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Finding the Fourth Proportional to 517.05, 773.42 and 413.91

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Solution

The fourth proportional to 517.05, 773.42 and 413.91 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.05 : 773.42 = 413.91 : x
  2. Step 2: Convert to fraction form
    517.05/773.42 = 413.91/x
  3. Step 3: Cross multiply
    517.05x = 773.42 × 413.91
  4. Step 4: Simplify right side
    517.05x = 320,124.20
  5. Step 5: Solve for x
    x = 320,124.20/517.05
  6. Step 6: Final answer
    x = 619.14

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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.