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Finding the Fourth Proportional to 613.09, 846.06 and 333.31

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Solution

The fourth proportional to 613.09, 846.06 and 333.31 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.09 : 846.06 = 333.31 : x
  2. Step 2: Convert to fraction form
    613.09/846.06 = 333.31/x
  3. Step 3: Cross multiply
    613.09x = 846.06 × 333.31
  4. Step 4: Simplify right side
    613.09x = 281,996.03
  5. Step 5: Solve for x
    x = 281,996.03/613.09
  6. Step 6: Final answer
    x = 459.96

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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.