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Finding the Fourth Proportional to 638.94, 958.40 and 313.92

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Solution

The fourth proportional to 638.94, 958.40 and 313.92 is: 470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.94 : 958.40 = 313.92 : x
  2. Step 2: Convert to fraction form
    638.94/958.40 = 313.92/x
  3. Step 3: Cross multiply
    638.94x = 958.40 × 313.92
  4. Step 4: Simplify right side
    638.94x = 300,860.93
  5. Step 5: Solve for x
    x = 300,860.93/638.94
  6. Step 6: Final answer
    x = 470.88

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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.