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Finding the Fourth Proportional to 645.97, 967.38 and 629.53

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Solution

The fourth proportional to 645.97, 967.38 and 629.53 is: 942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.97 : 967.38 = 629.53 : x
  2. Step 2: Convert to fraction form
    645.97/967.38 = 629.53/x
  3. Step 3: Cross multiply
    645.97x = 967.38 × 629.53
  4. Step 4: Simplify right side
    645.97x = 608,994.73
  5. Step 5: Solve for x
    x = 608,994.73/645.97
  6. Step 6: Final answer
    x = 942.76

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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.