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Finding the Fourth Proportional to 967, 1,450.58 and 381.96

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Solution

The fourth proportional to 967, 1,450.58 and 381.96 is: 572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    967 : 1,450.58 = 381.96 : x
  2. Step 2: Convert to fraction form
    967/1,450.58 = 381.96/x
  3. Step 3: Cross multiply
    967x = 1,450.58 × 381.96
  4. Step 4: Simplify right side
    967x = 554,063.54
  5. Step 5: Solve for x
    x = 554,063.54/967
  6. Step 6: Final answer
    x = 572.97

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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.