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Finding the Fourth Proportional to 462.69, 639.42 and 413.48

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Solution

The fourth proportional to 462.69, 639.42 and 413.48 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 639.42 = 413.48 : x
  2. Step 2: Convert to fraction form
    462.69/639.42 = 413.48/x
  3. Step 3: Cross multiply
    462.69x = 639.42 × 413.48
  4. Step 4: Simplify right side
    462.69x = 264,387.38
  5. Step 5: Solve for x
    x = 264,387.38/462.69
  6. Step 6: Final answer
    x = 571.41

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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.