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Finding the Fourth Proportional to 645.36, 966.75 and 298.22

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Solution

The fourth proportional to 645.36, 966.75 and 298.22 is: 446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.36 : 966.75 = 298.22 : x
  2. Step 2: Convert to fraction form
    645.36/966.75 = 298.22/x
  3. Step 3: Cross multiply
    645.36x = 966.75 × 298.22
  4. Step 4: Simplify right side
    645.36x = 288,299.35
  5. Step 5: Solve for x
    x = 288,299.35/645.36
  6. Step 6: Final answer
    x = 446.73

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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.