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Finding the Fourth Proportional to 645.74, 967.94 and 255.21

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Solution

The fourth proportional to 645.74, 967.94 and 255.21 is: 382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.74 : 967.94 = 255.21 : x
  2. Step 2: Convert to fraction form
    645.74/967.94 = 255.21/x
  3. Step 3: Cross multiply
    645.74x = 967.94 × 255.21
  4. Step 4: Simplify right side
    645.74x = 247,024.02
  5. Step 5: Solve for x
    x = 247,024.02/645.74
  6. Step 6: Final answer
    x = 382.54

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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.