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Finding the Fourth Proportional to 450, 673.56 and 422.64

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Solution

The fourth proportional to 450, 673.56 and 422.64 is: 632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 673.56 = 422.64 : x
  2. Step 2: Convert to fraction form
    450/673.56 = 422.64/x
  3. Step 3: Cross multiply
    450x = 673.56 × 422.64
  4. Step 4: Simplify right side
    450x = 284,673.40
  5. Step 5: Solve for x
    x = 284,673.40/450
  6. Step 6: Final answer
    x = 632.61

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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.