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Finding the Fourth Proportional to 620.20, 927.95 and 382.80

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Solution

The fourth proportional to 620.20, 927.95 and 382.80 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.20 : 927.95 = 382.80 : x
  2. Step 2: Convert to fraction form
    620.20/927.95 = 382.80/x
  3. Step 3: Cross multiply
    620.20x = 927.95 × 382.80
  4. Step 4: Simplify right side
    620.20x = 355,214.62
  5. Step 5: Solve for x
    x = 355,214.62/620.20
  6. Step 6: Final answer
    x = 572.74

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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.