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Finding the Fourth Proportional to 967.23, 1,449.72 and 411.84

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Solution

The fourth proportional to 967.23, 1,449.72 and 411.84 is: 617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.23 : 1,449.72 = 411.84 : x
  2. Step 2: Convert to fraction form
    967.23/1,449.72 = 411.84/x
  3. Step 3: Cross multiply
    967.23x = 1,449.72 × 411.84
  4. Step 4: Simplify right side
    967.23x = 597,052.68
  5. Step 5: Solve for x
    x = 597,052.68/967.23
  6. Step 6: Final answer
    x = 617.28

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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.