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Finding the Fourth Proportional to 638.45, 957.82 and 227.62

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Solution

The fourth proportional to 638.45, 957.82 and 227.62 is: 341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.45 : 957.82 = 227.62 : x
  2. Step 2: Convert to fraction form
    638.45/957.82 = 227.62/x
  3. Step 3: Cross multiply
    638.45x = 957.82 × 227.62
  4. Step 4: Simplify right side
    638.45x = 218,013.06
  5. Step 5: Solve for x
    x = 218,013.06/638.45
  6. Step 6: Final answer
    x = 341.48

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1.5x scale

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.