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Finding the Fourth Proportional to 451.90, 676.86 and 353.73

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Solution

The fourth proportional to 451.90, 676.86 and 353.73 is: 529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.90 : 676.86 = 353.73 : x
  2. Step 2: Convert to fraction form
    451.90/676.86 = 353.73/x
  3. Step 3: Cross multiply
    451.90x = 676.86 × 353.73
  4. Step 4: Simplify right side
    451.90x = 239,426.90
  5. Step 5: Solve for x
    x = 239,426.90/451.90
  6. Step 6: Final answer
    x = 529.83

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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.