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Finding the Fourth Proportional to 432.81, 649.82 and 413.23

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Solution

The fourth proportional to 432.81, 649.82 and 413.23 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.81 : 649.82 = 413.23 : x
  2. Step 2: Convert to fraction form
    432.81/649.82 = 413.23/x
  3. Step 3: Cross multiply
    432.81x = 649.82 × 413.23
  4. Step 4: Simplify right side
    432.81x = 268,525.12
  5. Step 5: Solve for x
    x = 268,525.12/432.81
  6. Step 6: Final answer
    x = 620.42

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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.