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Finding the Fourth Proportional to 537.91, 805.88 and 451.79

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Solution

The fourth proportional to 537.91, 805.88 and 451.79 is: 676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.91 : 805.88 = 451.79 : x
  2. Step 2: Convert to fraction form
    537.91/805.88 = 451.79/x
  3. Step 3: Cross multiply
    537.91x = 805.88 × 451.79
  4. Step 4: Simplify right side
    537.91x = 364,086.27
  5. Step 5: Solve for x
    x = 364,086.27/537.91
  6. Step 6: Final answer
    x = 676.86

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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.