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Finding the Fourth Proportional to 538.40, 743.34 and 413.82

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Solution

The fourth proportional to 538.40, 743.34 and 413.82 is: 571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.40 : 743.34 = 413.82 : x
  2. Step 2: Convert to fraction form
    538.40/743.34 = 413.82/x
  3. Step 3: Cross multiply
    538.40x = 743.34 × 413.82
  4. Step 4: Simplify right side
    538.40x = 307,608.96
  5. Step 5: Solve for x
    x = 307,608.96/538.40
  6. Step 6: Final answer
    x = 571.34

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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.