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Finding the Fourth Proportional to 645.72, 968.98 and 255.66

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Solution

The fourth proportional to 645.72, 968.98 and 255.66 is: 383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.72 : 968.98 = 255.66 : x
  2. Step 2: Convert to fraction form
    645.72/968.98 = 255.66/x
  3. Step 3: Cross multiply
    645.72x = 968.98 × 255.66
  4. Step 4: Simplify right side
    645.72x = 247,723.94
  5. Step 5: Solve for x
    x = 247,723.94/645.72
  6. Step 6: Final answer
    x = 383.64

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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.