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Finding the Fourth Proportional to 489.22, 734.82 and 381.67

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Solution

The fourth proportional to 489.22, 734.82 and 381.67 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.22 : 734.82 = 381.67 : x
  2. Step 2: Convert to fraction form
    489.22/734.82 = 381.67/x
  3. Step 3: Cross multiply
    489.22x = 734.82 × 381.67
  4. Step 4: Simplify right side
    489.22x = 280,458.75
  5. Step 5: Solve for x
    x = 280,458.75/489.22
  6. Step 6: Final answer
    x = 573.28

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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.