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Finding the Fourth Proportional to 496.12, 684.75 and 299.59

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Solution

The fourth proportional to 496.12, 684.75 and 299.59 is: 413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.12 : 684.75 = 299.59 : x
  2. Step 2: Convert to fraction form
    496.12/684.75 = 299.59/x
  3. Step 3: Cross multiply
    496.12x = 684.75 × 299.59
  4. Step 4: Simplify right side
    496.12x = 205,144.25
  5. Step 5: Solve for x
    x = 205,144.25/496.12
  6. Step 6: Final answer
    x = 413.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.