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Finding the Fourth Proportional to 496.07, 743.96 and 287.90

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Solution

The fourth proportional to 496.07, 743.96 and 287.90 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.07 : 743.96 = 287.90 : x
  2. Step 2: Convert to fraction form
    496.07/743.96 = 287.90/x
  3. Step 3: Cross multiply
    496.07x = 743.96 × 287.90
  4. Step 4: Simplify right side
    496.07x = 214,180.92
  5. Step 5: Solve for x
    x = 214,180.92/496.07
  6. Step 6: Final answer
    x = 431.76

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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.