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Finding the Fourth Proportional to 450.96, 676.77 and 277.89

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Solution

The fourth proportional to 450.96, 676.77 and 277.89 is: 417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.96 : 676.77 = 277.89 : x
  2. Step 2: Convert to fraction form
    450.96/676.77 = 277.89/x
  3. Step 3: Cross multiply
    450.96x = 676.77 × 277.89
  4. Step 4: Simplify right side
    450.96x = 188,067.62
  5. Step 5: Solve for x
    x = 188,067.62/450.96
  6. Step 6: Final answer
    x = 417.04

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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.