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Finding the Fourth Proportional to 537.42, 804.75 and 445.85

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Solution

The fourth proportional to 537.42, 804.75 and 445.85 is: 667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.42 : 804.75 = 445.85 : x
  2. Step 2: Convert to fraction form
    537.42/804.75 = 445.85/x
  3. Step 3: Cross multiply
    537.42x = 804.75 × 445.85
  4. Step 4: Simplify right side
    537.42x = 358,793.76
  5. Step 5: Solve for x
    x = 358,793.76/537.42
  6. Step 6: Final answer
    x = 667.62

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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.