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Finding the Fourth Proportional to 453.89, 682.25 and 367.62

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Solution

The fourth proportional to 453.89, 682.25 and 367.62 is: 552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.89 : 682.25 = 367.62 : x
  2. Step 2: Convert to fraction form
    453.89/682.25 = 367.62/x
  3. Step 3: Cross multiply
    453.89x = 682.25 × 367.62
  4. Step 4: Simplify right side
    453.89x = 250,806.91
  5. Step 5: Solve for x
    x = 250,806.91/453.89
  6. Step 6: Final answer
    x = 552.58

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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.