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Finding the Fourth Proportional to 452.70, 674.48 and 446.36

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Solution

The fourth proportional to 452.70, 674.48 and 446.36 is: 665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.70 : 674.48 = 446.36 : x
  2. Step 2: Convert to fraction form
    452.70/674.48 = 446.36/x
  3. Step 3: Cross multiply
    452.70x = 674.48 × 446.36
  4. Step 4: Simplify right side
    452.70x = 301,059.92
  5. Step 5: Solve for x
    x = 301,059.92/452.70
  6. Step 6: Final answer
    x = 665.03

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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.