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Finding the Fourth Proportional to 496.72, 686.28 and 413.56

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Solution

The fourth proportional to 496.72, 686.28 and 413.56 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.72 : 686.28 = 413.56 : x
  2. Step 2: Convert to fraction form
    496.72/686.28 = 413.56/x
  3. Step 3: Cross multiply
    496.72x = 686.28 × 413.56
  4. Step 4: Simplify right side
    496.72x = 283,817.96
  5. Step 5: Solve for x
    x = 283,817.96/496.72
  6. Step 6: Final answer
    x = 571.38

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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.