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Finding the Fourth Proportional to 490.98, 738.09 and 455.34

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Solution

The fourth proportional to 490.98, 738.09 and 455.34 is: 684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 738.09 = 455.34 : x
  2. Step 2: Convert to fraction form
    490.98/738.09 = 455.34/x
  3. Step 3: Cross multiply
    490.98x = 738.09 × 455.34
  4. Step 4: Simplify right side
    490.98x = 336,081.90
  5. Step 5: Solve for x
    x = 336,081.90/490.98
  6. Step 6: Final answer
    x = 684.51

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1.5x scale

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.