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Finding the Fourth Proportional to 496.35, 743.86 and 386.80

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Solution

The fourth proportional to 496.35, 743.86 and 386.80 is: 579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.35 : 743.86 = 386.80 : x
  2. Step 2: Convert to fraction form
    496.35/743.86 = 386.80/x
  3. Step 3: Cross multiply
    496.35x = 743.86 × 386.80
  4. Step 4: Simplify right side
    496.35x = 287,725.05
  5. Step 5: Solve for x
    x = 287,725.05/496.35
  6. Step 6: Final answer
    x = 579.68

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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.