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Finding the Fourth Proportional to 489.09, 674.33 and 323.00

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Solution

The fourth proportional to 489.09, 674.33 and 323.00 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.09 : 674.33 = 323.00 : x
  2. Step 2: Convert to fraction form
    489.09/674.33 = 323.00/x
  3. Step 3: Cross multiply
    489.09x = 674.33 × 323.00
  4. Step 4: Simplify right side
    489.09x = 217,803.60
  5. Step 5: Solve for x
    x = 217,803.60/489.09
  6. Step 6: Final answer
    x = 445.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.