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Finding the Fourth Proportional to 967.33, 1,450.41 and 381.64

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Solution

The fourth proportional to 967.33, 1,450.41 and 381.64 is: 572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.33 : 1,450.41 = 381.64 : x
  2. Step 2: Convert to fraction form
    967.33/1,450.41 = 381.64/x
  3. Step 3: Cross multiply
    967.33x = 1,450.41 × 381.64
  4. Step 4: Simplify right side
    967.33x = 553,534.47
  5. Step 5: Solve for x
    x = 553,534.47/967.33
  6. Step 6: Final answer
    x = 572.23

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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.