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Finding the Fourth Proportional to 638.94, 956.97 and 395.04

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Solution

The fourth proportional to 638.94, 956.97 and 395.04 is: 591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.94 : 956.97 = 395.04 : x
  2. Step 2: Convert to fraction form
    638.94/956.97 = 395.04/x
  3. Step 3: Cross multiply
    638.94x = 956.97 × 395.04
  4. Step 4: Simplify right side
    638.94x = 378,041.43
  5. Step 5: Solve for x
    x = 378,041.43/638.94
  6. Step 6: Final answer
    x = 591.67

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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.