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Finding the Fourth Proportional to 717.44, 990.20 and 455.80

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Solution

The fourth proportional to 717.44, 990.20 and 455.80 is: 629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.44 : 990.20 = 455.80 : x
  2. Step 2: Convert to fraction form
    717.44/990.20 = 455.80/x
  3. Step 3: Cross multiply
    717.44x = 990.20 × 455.80
  4. Step 4: Simplify right side
    717.44x = 451,333.16
  5. Step 5: Solve for x
    x = 451,333.16/717.44
  6. Step 6: Final answer
    x = 629.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.