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Finding the Fourth Proportional to 638.44, 957.90 and 313.96

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Solution

The fourth proportional to 638.44, 957.90 and 313.96 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.44 : 957.90 = 313.96 : x
  2. Step 2: Convert to fraction form
    638.44/957.90 = 313.96/x
  3. Step 3: Cross multiply
    638.44x = 957.90 × 313.96
  4. Step 4: Simplify right side
    638.44x = 300,742.28
  5. Step 5: Solve for x
    x = 300,742.28/638.44
  6. Step 6: Final answer
    x = 471.06

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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.