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Finding the Fourth Proportional to 447.39, 616.61 and 377.63

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Solution

The fourth proportional to 447.39, 616.61 and 377.63 is: 520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 616.61 = 377.63 : x
  2. Step 2: Convert to fraction form
    447.39/616.61 = 377.63/x
  3. Step 3: Cross multiply
    447.39x = 616.61 × 377.63
  4. Step 4: Simplify right side
    447.39x = 232,850.43
  5. Step 5: Solve for x
    x = 232,850.43/447.39
  6. Step 6: Final answer
    x = 520.46

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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.