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Finding the Fourth Proportional to 452.26, 675.17 and 447.64

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Solution

The fourth proportional to 452.26, 675.17 and 447.64 is: 668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.26 : 675.17 = 447.64 : x
  2. Step 2: Convert to fraction form
    452.26/675.17 = 447.64/x
  3. Step 3: Cross multiply
    452.26x = 675.17 × 447.64
  4. Step 4: Simplify right side
    452.26x = 302,233.10
  5. Step 5: Solve for x
    x = 302,233.10/452.26
  6. Step 6: Final answer
    x = 668.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.