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Finding the Fourth Proportional to 450.46, 676.72 and 388.96

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Solution

The fourth proportional to 450.46, 676.72 and 388.96 is: 584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.46 : 676.72 = 388.96 : x
  2. Step 2: Convert to fraction form
    450.46/676.72 = 388.96/x
  3. Step 3: Cross multiply
    450.46x = 676.72 × 388.96
  4. Step 4: Simplify right side
    450.46x = 263,217.01
  5. Step 5: Solve for x
    x = 263,217.01/450.46
  6. Step 6: Final answer
    x = 584.33

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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.