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Finding the Fourth Proportional to 493.68, 736.62 and 447.51

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Solution

The fourth proportional to 493.68, 736.62 and 447.51 is: 667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 736.62 = 447.51 : x
  2. Step 2: Convert to fraction form
    493.68/736.62 = 447.51/x
  3. Step 3: Cross multiply
    493.68x = 736.62 × 447.51
  4. Step 4: Simplify right side
    493.68x = 329,644.82
  5. Step 5: Solve for x
    x = 329,644.82/493.68
  6. Step 6: Final answer
    x = 667.73

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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.