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Finding the Fourth Proportional to 505.46, 757.44 and 447.80

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Solution

The fourth proportional to 505.46, 757.44 and 447.80 is: 671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.46 : 757.44 = 447.80 : x
  2. Step 2: Convert to fraction form
    505.46/757.44 = 447.80/x
  3. Step 3: Cross multiply
    505.46x = 757.44 × 447.80
  4. Step 4: Simplify right side
    505.46x = 339,181.63
  5. Step 5: Solve for x
    x = 339,181.63/505.46
  6. Step 6: Final answer
    x = 671.04

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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.