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Finding the Fourth Proportional to 489.16, 733.38 and 344.80

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Solution

The fourth proportional to 489.16, 733.38 and 344.80 is: 516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 733.38 = 344.80 : x
  2. Step 2: Convert to fraction form
    489.16/733.38 = 344.80/x
  3. Step 3: Cross multiply
    489.16x = 733.38 × 344.80
  4. Step 4: Simplify right side
    489.16x = 252,869.42
  5. Step 5: Solve for x
    x = 252,869.42/489.16
  6. Step 6: Final answer
    x = 516.95

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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.