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Finding the Fourth Proportional to 489.73, 734.09 and 306.71

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Solution

The fourth proportional to 489.73, 734.09 and 306.71 is: 459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.73 : 734.09 = 306.71 : x
  2. Step 2: Convert to fraction form
    489.73/734.09 = 306.71/x
  3. Step 3: Cross multiply
    489.73x = 734.09 × 306.71
  4. Step 4: Simplify right side
    489.73x = 225,152.74
  5. Step 5: Solve for x
    x = 225,152.74/489.73
  6. Step 6: Final answer
    x = 459.75

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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.