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Finding the Fourth Proportional to 537.80, 806.60 and 447.08

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Solution

The fourth proportional to 537.80, 806.60 and 447.08 is: 670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 806.60 = 447.08 : x
  2. Step 2: Convert to fraction form
    537.80/806.60 = 447.08/x
  3. Step 3: Cross multiply
    537.80x = 806.60 × 447.08
  4. Step 4: Simplify right side
    537.80x = 360,614.73
  5. Step 5: Solve for x
    x = 360,614.73/537.80
  6. Step 6: Final answer
    x = 670.54

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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.