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Finding the Fourth Proportional to 493.24, 743.20 and 408.48

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Solution

The fourth proportional to 493.24, 743.20 and 408.48 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.24 : 743.20 = 408.48 : x
  2. Step 2: Convert to fraction form
    493.24/743.20 = 408.48/x
  3. Step 3: Cross multiply
    493.24x = 743.20 × 408.48
  4. Step 4: Simplify right side
    493.24x = 303,582.34
  5. Step 5: Solve for x
    x = 303,582.34/493.24
  6. Step 6: Final answer
    x = 615.49

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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.