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Finding the Fourth Proportional to 967.10, 1,449.67 and 381.79

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Solution

The fourth proportional to 967.10, 1,449.67 and 381.79 is: 572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.10 : 1,449.67 = 381.79 : x
  2. Step 2: Convert to fraction form
    967.10/1,449.67 = 381.79/x
  3. Step 3: Cross multiply
    967.10x = 1,449.67 × 381.79
  4. Step 4: Simplify right side
    967.10x = 553,469.51
  5. Step 5: Solve for x
    x = 553,469.51/967.10
  6. Step 6: Final answer
    x = 572.30

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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.