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Finding the Fourth Proportional to 450.12, 674.44 and 381.60

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Solution

The fourth proportional to 450.12, 674.44 and 381.60 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.12 : 674.44 = 381.60 : x
  2. Step 2: Convert to fraction form
    450.12/674.44 = 381.60/x
  3. Step 3: Cross multiply
    450.12x = 674.44 × 381.60
  4. Step 4: Simplify right side
    450.12x = 257,366.30
  5. Step 5: Solve for x
    x = 257,366.30/450.12
  6. Step 6: Final answer
    x = 571.77

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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.