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Finding the Fourth Proportional to 622.08, 931.86 and 333

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Solution

The fourth proportional to 622.08, 931.86 and 333 is: 498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.08 : 931.86 = 333 : x
  2. Step 2: Convert to fraction form
    622.08/931.86 = 333/x
  3. Step 3: Cross multiply
    622.08x = 931.86 × 333
  4. Step 4: Simplify right side
    622.08x = 310,309.38
  5. Step 5: Solve for x
    x = 310,309.38/622.08
  6. Step 6: Final answer
    x = 498.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.