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Finding the Fourth Proportional to 490.85, 736.05 and 285.48

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Solution

The fourth proportional to 490.85, 736.05 and 285.48 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.85 : 736.05 = 285.48 : x
  2. Step 2: Convert to fraction form
    490.85/736.05 = 285.48/x
  3. Step 3: Cross multiply
    490.85x = 736.05 × 285.48
  4. Step 4: Simplify right side
    490.85x = 210,127.55
  5. Step 5: Solve for x
    x = 210,127.55/490.85
  6. Step 6: Final answer
    x = 428.09

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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.