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Finding the Fourth Proportional to 468.09, 641.28 and 450.57

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Solution

The fourth proportional to 468.09, 641.28 and 450.57 is: 617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.09 : 641.28 = 450.57 : x
  2. Step 2: Convert to fraction form
    468.09/641.28 = 450.57/x
  3. Step 3: Cross multiply
    468.09x = 641.28 × 450.57
  4. Step 4: Simplify right side
    468.09x = 288,938.89
  5. Step 5: Solve for x
    x = 288,938.89/468.09
  6. Step 6: Final answer
    x = 617.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.