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Finding the Fourth Proportional to 496.76, 682.59 and 444.92

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Solution

The fourth proportional to 496.76, 682.59 and 444.92 is: 611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 682.59 = 444.92 : x
  2. Step 2: Convert to fraction form
    496.76/682.59 = 444.92/x
  3. Step 3: Cross multiply
    496.76x = 682.59 × 444.92
  4. Step 4: Simplify right side
    496.76x = 303,697.94
  5. Step 5: Solve for x
    x = 303,697.94/496.76
  6. Step 6: Final answer
    x = 611.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.