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Finding the Fourth Proportional to 489.71, 733.66 and 416.81

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Solution

The fourth proportional to 489.71, 733.66 and 416.81 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.71 : 733.66 = 416.81 : x
  2. Step 2: Convert to fraction form
    489.71/733.66 = 416.81/x
  3. Step 3: Cross multiply
    489.71x = 733.66 × 416.81
  4. Step 4: Simplify right side
    489.71x = 305,797.62
  5. Step 5: Solve for x
    x = 305,797.62/489.71
  6. Step 6: Final answer
    x = 624.44

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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.