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Finding the Fourth Proportional to 489.19, 732.97 and 427.63

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Solution

The fourth proportional to 489.19, 732.97 and 427.63 is: 640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.19 : 732.97 = 427.63 : x
  2. Step 2: Convert to fraction form
    489.19/732.97 = 427.63/x
  3. Step 3: Cross multiply
    489.19x = 732.97 × 427.63
  4. Step 4: Simplify right side
    489.19x = 313,439.96
  5. Step 5: Solve for x
    x = 313,439.96/489.19
  6. Step 6: Final answer
    x = 640.73

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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.