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Finding the Fourth Proportional to 505.46, 757.54 and 443.56

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Solution

The fourth proportional to 505.46, 757.54 and 443.56 is: 664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.46 : 757.54 = 443.56 : x
  2. Step 2: Convert to fraction form
    505.46/757.54 = 443.56/x
  3. Step 3: Cross multiply
    505.46x = 757.54 × 443.56
  4. Step 4: Simplify right side
    505.46x = 336,014.44
  5. Step 5: Solve for x
    x = 336,014.44/505.46
  6. Step 6: Final answer
    x = 664.77

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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.