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Finding the Fourth Proportional to 483.85, 668.07 and 359.80

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Solution

The fourth proportional to 483.85, 668.07 and 359.80 is: 496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.85 : 668.07 = 359.80 : x
  2. Step 2: Convert to fraction form
    483.85/668.07 = 359.80/x
  3. Step 3: Cross multiply
    483.85x = 668.07 × 359.80
  4. Step 4: Simplify right side
    483.85x = 240,371.59
  5. Step 5: Solve for x
    x = 240,371.59/483.85
  6. Step 6: Final answer
    x = 496.79

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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.