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Finding the Fourth Proportional to 496.34, 684.95 and 299.85

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Solution

The fourth proportional to 496.34, 684.95 and 299.85 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.34 : 684.95 = 299.85 : x
  2. Step 2: Convert to fraction form
    496.34/684.95 = 299.85/x
  3. Step 3: Cross multiply
    496.34x = 684.95 × 299.85
  4. Step 4: Simplify right side
    496.34x = 205,380.76
  5. Step 5: Solve for x
    x = 205,380.76/496.34
  6. Step 6: Final answer
    x = 413.79

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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.