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Finding the Fourth Proportional to 645.82, 968.05 and 255.72

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Solution

The fourth proportional to 645.82, 968.05 and 255.72 is: 383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.82 : 968.05 = 255.72 : x
  2. Step 2: Convert to fraction form
    645.82/968.05 = 255.72/x
  3. Step 3: Cross multiply
    645.82x = 968.05 × 255.72
  4. Step 4: Simplify right side
    645.82x = 247,549.75
  5. Step 5: Solve for x
    x = 247,549.75/645.82
  6. Step 6: Final answer
    x = 383.31

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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.