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Finding the Fourth Proportional to 450, 620.64 and 332.37

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Solution

The fourth proportional to 450, 620.64 and 332.37 is: 458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 620.64 = 332.37 : x
  2. Step 2: Convert to fraction form
    450/620.64 = 332.37/x
  3. Step 3: Cross multiply
    450x = 620.64 × 332.37
  4. Step 4: Simplify right side
    450x = 206,282.12
  5. Step 5: Solve for x
    x = 206,282.12/450
  6. Step 6: Final answer
    x = 458.40

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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.