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Finding the Fourth Proportional to 645.84, 892.20 and 450.36

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Solution

The fourth proportional to 645.84, 892.20 and 450.36 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 892.20 = 450.36 : x
  2. Step 2: Convert to fraction form
    645.84/892.20 = 450.36/x
  3. Step 3: Cross multiply
    645.84x = 892.20 × 450.36
  4. Step 4: Simplify right side
    645.84x = 401,811.19
  5. Step 5: Solve for x
    x = 401,811.19/645.84
  6. Step 6: Final answer
    x = 622.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.