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Finding the Fourth Proportional to 493.36, 743.47 and 408.58

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Solution

The fourth proportional to 493.36, 743.47 and 408.58 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.36 : 743.47 = 408.58 : x
  2. Step 2: Convert to fraction form
    493.36/743.47 = 408.58/x
  3. Step 3: Cross multiply
    493.36x = 743.47 × 408.58
  4. Step 4: Simplify right side
    493.36x = 303,766.97
  5. Step 5: Solve for x
    x = 303,766.97/493.36
  6. Step 6: Final answer
    x = 615.71

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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.