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Finding the Fourth Proportional to 649.50, 896.57 and 413.79

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Solution

The fourth proportional to 649.50, 896.57 and 413.79 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.50 : 896.57 = 413.79 : x
  2. Step 2: Convert to fraction form
    649.50/896.57 = 413.79/x
  3. Step 3: Cross multiply
    649.50x = 896.57 × 413.79
  4. Step 4: Simplify right side
    649.50x = 370,991.70
  5. Step 5: Solve for x
    x = 370,991.70/649.50
  6. Step 6: Final answer
    x = 571.20

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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.