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Finding the Fourth Proportional to 490.23, 734.76 and 387.09

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Solution

The fourth proportional to 490.23, 734.76 and 387.09 is: 580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 734.76 = 387.09 : x
  2. Step 2: Convert to fraction form
    490.23/734.76 = 387.09/x
  3. Step 3: Cross multiply
    490.23x = 734.76 × 387.09
  4. Step 4: Simplify right side
    490.23x = 284,418.25
  5. Step 5: Solve for x
    x = 284,418.25/490.23
  6. Step 6: Final answer
    x = 580.17

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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.