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Finding the Fourth Proportional to 493.17, 743.09 and 408.39

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Solution

The fourth proportional to 493.17, 743.09 and 408.39 is: 615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.17 : 743.09 = 408.39 : x
  2. Step 2: Convert to fraction form
    493.17/743.09 = 408.39/x
  3. Step 3: Cross multiply
    493.17x = 743.09 × 408.39
  4. Step 4: Simplify right side
    493.17x = 303,468.48
  5. Step 5: Solve for x
    x = 303,468.48/493.17
  6. Step 6: Final answer
    x = 615.34

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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.