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Finding the Fourth Proportional to 490.50, 736.58 and 469.44

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Solution

The fourth proportional to 490.50, 736.58 and 469.44 is: 704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 736.58 = 469.44 : x
  2. Step 2: Convert to fraction form
    490.50/736.58 = 469.44/x
  3. Step 3: Cross multiply
    490.50x = 736.58 × 469.44
  4. Step 4: Simplify right side
    490.50x = 345,780.12
  5. Step 5: Solve for x
    x = 345,780.12/490.50
  6. Step 6: Final answer
    x = 704.95

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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.