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Finding the Fourth Proportional to 490.01, 733.86 and 485.87

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Solution

The fourth proportional to 490.01, 733.86 and 485.87 is: 727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.01 : 733.86 = 485.87 : x
  2. Step 2: Convert to fraction form
    490.01/733.86 = 485.87/x
  3. Step 3: Cross multiply
    490.01x = 733.86 × 485.87
  4. Step 4: Simplify right side
    490.01x = 356,556.89
  5. Step 5: Solve for x
    x = 356,556.89/490.01
  6. Step 6: Final answer
    x = 727.66

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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.