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Finding the Fourth Proportional to 493.72, 743.53 and 413.08

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Solution

The fourth proportional to 493.72, 743.53 and 413.08 is: 622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.72 : 743.53 = 413.08 : x
  2. Step 2: Convert to fraction form
    493.72/743.53 = 413.08/x
  3. Step 3: Cross multiply
    493.72x = 743.53 × 413.08
  4. Step 4: Simplify right side
    493.72x = 307,137.37
  5. Step 5: Solve for x
    x = 307,137.37/493.72
  6. Step 6: Final answer
    x = 622.09

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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.