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Finding the Fourth Proportional to 493.44, 677.90 and 441.66

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Solution

The fourth proportional to 493.44, 677.90 and 441.66 is: 606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.44 : 677.90 = 441.66 : x
  2. Step 2: Convert to fraction form
    493.44/677.90 = 441.66/x
  3. Step 3: Cross multiply
    493.44x = 677.90 × 441.66
  4. Step 4: Simplify right side
    493.44x = 299,400.76
  5. Step 5: Solve for x
    x = 299,400.76/493.44
  6. Step 6: Final answer
    x = 606.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.