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Finding the Fourth Proportional to 455.11, 677.82 and 438.97

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Solution

The fourth proportional to 455.11, 677.82 and 438.97 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.11 : 677.82 = 438.97 : x
  2. Step 2: Convert to fraction form
    455.11/677.82 = 438.97/x
  3. Step 3: Cross multiply
    455.11x = 677.82 × 438.97
  4. Step 4: Simplify right side
    455.11x = 297,539.85
  5. Step 5: Solve for x
    x = 297,539.85/455.11
  6. Step 6: Final answer
    x = 653.78

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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.