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Finding the Fourth Proportional to 613.11, 846.07 and 333.34

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Solution

The fourth proportional to 613.11, 846.07 and 333.34 is: 460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.11 : 846.07 = 333.34 : x
  2. Step 2: Convert to fraction form
    613.11/846.07 = 333.34/x
  3. Step 3: Cross multiply
    613.11x = 846.07 × 333.34
  4. Step 4: Simplify right side
    613.11x = 282,028.97
  5. Step 5: Solve for x
    x = 282,028.97/613.11
  6. Step 6: Final answer
    x = 460.00

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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.