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Finding the Fourth Proportional to 517.81, 713.86 and 413.25

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Solution

The fourth proportional to 517.81, 713.86 and 413.25 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.81 : 713.86 = 413.25 : x
  2. Step 2: Convert to fraction form
    517.81/713.86 = 413.25/x
  3. Step 3: Cross multiply
    517.81x = 713.86 × 413.25
  4. Step 4: Simplify right side
    517.81x = 295,002.65
  5. Step 5: Solve for x
    x = 295,002.65/517.81
  6. Step 6: Final answer
    x = 569.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.