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Finding the Fourth Proportional to 622.16, 932.40 and 333.80

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Solution

The fourth proportional to 622.16, 932.40 and 333.80 is: 500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.16 : 932.40 = 333.80 : x
  2. Step 2: Convert to fraction form
    622.16/932.40 = 333.80/x
  3. Step 3: Cross multiply
    622.16x = 932.40 × 333.80
  4. Step 4: Simplify right side
    622.16x = 311,235.12
  5. Step 5: Solve for x
    x = 311,235.12/622.16
  6. Step 6: Final answer
    x = 500.25

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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.