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Finding the Fourth Proportional to 453.28, 682.36 and 413.60

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Solution

The fourth proportional to 453.28, 682.36 and 413.60 is: 622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.28 : 682.36 = 413.60 : x
  2. Step 2: Convert to fraction form
    453.28/682.36 = 413.60/x
  3. Step 3: Cross multiply
    453.28x = 682.36 × 413.60
  4. Step 4: Simplify right side
    453.28x = 282,224.10
  5. Step 5: Solve for x
    x = 282,224.10/453.28
  6. Step 6: Final answer
    x = 622.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.