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Finding the Fourth Proportional to 638.62, 958.14 and 464.98

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Solution

The fourth proportional to 638.62, 958.14 and 464.98 is: 697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.62 : 958.14 = 464.98 : x
  2. Step 2: Convert to fraction form
    638.62/958.14 = 464.98/x
  3. Step 3: Cross multiply
    638.62x = 958.14 × 464.98
  4. Step 4: Simplify right side
    638.62x = 445,515.94
  5. Step 5: Solve for x
    x = 445,515.94/638.62
  6. Step 6: Final answer
    x = 697.62

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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.