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Finding the Fourth Proportional to 967.30, 1,450.39 and 381.62

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Solution

The fourth proportional to 967.30, 1,450.39 and 381.62 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.30 : 1,450.39 = 381.62 : x
  2. Step 2: Convert to fraction form
    967.30/1,450.39 = 381.62/x
  3. Step 3: Cross multiply
    967.30x = 1,450.39 × 381.62
  4. Step 4: Simplify right side
    967.30x = 553,497.83
  5. Step 5: Solve for x
    x = 553,497.83/967.30
  6. Step 6: Final answer
    x = 572.21

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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.