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Finding the Fourth Proportional to 676.44, 933.46 and 381.73

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Solution

The fourth proportional to 676.44, 933.46 and 381.73 is: 526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.44 : 933.46 = 381.73 : x
  2. Step 2: Convert to fraction form
    676.44/933.46 = 381.73/x
  3. Step 3: Cross multiply
    676.44x = 933.46 × 381.73
  4. Step 4: Simplify right side
    676.44x = 356,332.05
  5. Step 5: Solve for x
    x = 356,332.05/676.44
  6. Step 6: Final answer
    x = 526.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.