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Finding the Fourth Proportional to 446.43, 666.48 and 377.49

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Solution

The fourth proportional to 446.43, 666.48 and 377.49 is: 563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.43 : 666.48 = 377.49 : x
  2. Step 2: Convert to fraction form
    446.43/666.48 = 377.49/x
  3. Step 3: Cross multiply
    446.43x = 666.48 × 377.49
  4. Step 4: Simplify right side
    446.43x = 251,589.54
  5. Step 5: Solve for x
    x = 251,589.54/446.43
  6. Step 6: Final answer
    x = 563.56

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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.