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Finding the Fourth Proportional to 497.41, 685.81 and 408.79

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Solution

The fourth proportional to 497.41, 685.81 and 408.79 is: 563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.41 : 685.81 = 408.79 : x
  2. Step 2: Convert to fraction form
    497.41/685.81 = 408.79/x
  3. Step 3: Cross multiply
    497.41x = 685.81 × 408.79
  4. Step 4: Simplify right side
    497.41x = 280,352.27
  5. Step 5: Solve for x
    x = 280,352.27/497.41
  6. Step 6: Final answer
    x = 563.62

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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.