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Finding the Fourth Proportional to 496.01, 684.83 and 309.78

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Solution

The fourth proportional to 496.01, 684.83 and 309.78 is: 427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.01 : 684.83 = 309.78 : x
  2. Step 2: Convert to fraction form
    496.01/684.83 = 309.78/x
  3. Step 3: Cross multiply
    496.01x = 684.83 × 309.78
  4. Step 4: Simplify right side
    496.01x = 212,145.09
  5. Step 5: Solve for x
    x = 212,145.09/496.01
  6. Step 6: Final answer
    x = 427.71

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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.