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Finding the Fourth Proportional to 498.44, 743.68 and 446.24

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Solution

The fourth proportional to 498.44, 743.68 and 446.24 is: 665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 743.68 = 446.24 : x
  2. Step 2: Convert to fraction form
    498.44/743.68 = 446.24/x
  3. Step 3: Cross multiply
    498.44x = 743.68 × 446.24
  4. Step 4: Simplify right side
    498.44x = 331,859.76
  5. Step 5: Solve for x
    x = 331,859.76/498.44
  6. Step 6: Final answer
    x = 665.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.