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Finding the Fourth Proportional to 490.25, 734.07 and 392.29

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Solution

The fourth proportional to 490.25, 734.07 and 392.29 is: 587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 734.07 = 392.29 : x
  2. Step 2: Convert to fraction form
    490.25/734.07 = 392.29/x
  3. Step 3: Cross multiply
    490.25x = 734.07 × 392.29
  4. Step 4: Simplify right side
    490.25x = 287,966.49
  5. Step 5: Solve for x
    x = 287,966.49/490.25
  6. Step 6: Final answer
    x = 587.39

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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.