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Finding the Fourth Proportional to 446.39, 617.47 and 377.54

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Solution

The fourth proportional to 446.39, 617.47 and 377.54 is: 522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.39 : 617.47 = 377.54 : x
  2. Step 2: Convert to fraction form
    446.39/617.47 = 377.54/x
  3. Step 3: Cross multiply
    446.39x = 617.47 × 377.54
  4. Step 4: Simplify right side
    446.39x = 233,120.22
  5. Step 5: Solve for x
    x = 233,120.22/446.39
  6. Step 6: Final answer
    x = 522.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.