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Finding the Fourth Proportional to 494.82, 738.50 and 481.86

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Solution

The fourth proportional to 494.82, 738.50 and 481.86 is: 719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 738.50 = 481.86 : x
  2. Step 2: Convert to fraction form
    494.82/738.50 = 481.86/x
  3. Step 3: Cross multiply
    494.82x = 738.50 × 481.86
  4. Step 4: Simplify right side
    494.82x = 355,851.20
  5. Step 5: Solve for x
    x = 355,851.20/494.82
  6. Step 6: Final answer
    x = 719.15

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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.