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Finding the Fourth Proportional to 450.16, 674.33 and 381.81

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Solution

The fourth proportional to 450.16, 674.33 and 381.81 is: 571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.16 : 674.33 = 381.81 : x
  2. Step 2: Convert to fraction form
    450.16/674.33 = 381.81/x
  3. Step 3: Cross multiply
    450.16x = 674.33 × 381.81
  4. Step 4: Simplify right side
    450.16x = 257,466.56
  5. Step 5: Solve for x
    x = 257,466.56/450.16
  6. Step 6: Final answer
    x = 571.95

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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.