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Finding the Fourth Proportional to 489.02, 733.73 and 327.02

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Solution

The fourth proportional to 489.02, 733.73 and 327.02 is: 490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.02 : 733.73 = 327.02 : x
  2. Step 2: Convert to fraction form
    489.02/733.73 = 327.02/x
  3. Step 3: Cross multiply
    489.02x = 733.73 × 327.02
  4. Step 4: Simplify right side
    489.02x = 239,939.08
  5. Step 5: Solve for x
    x = 239,939.08/489.02
  6. Step 6: Final answer
    x = 490.66

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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.