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Finding the Fourth Proportional to 967.78, 1,450.26 and 447.94

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Solution

The fourth proportional to 967.78, 1,450.26 and 447.94 is: 671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.78 : 1,450.26 = 447.94 : x
  2. Step 2: Convert to fraction form
    967.78/1,450.26 = 447.94/x
  3. Step 3: Cross multiply
    967.78x = 1,450.26 × 447.94
  4. Step 4: Simplify right side
    967.78x = 649,629.46
  5. Step 5: Solve for x
    x = 649,629.46/967.78
  6. Step 6: Final answer
    x = 671.26

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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.