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Finding the Fourth Proportional to 444.82, 613.94 and 287.58

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Solution

The fourth proportional to 444.82, 613.94 and 287.58 is: 396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.82 : 613.94 = 287.58 : x
  2. Step 2: Convert to fraction form
    444.82/613.94 = 287.58/x
  3. Step 3: Cross multiply
    444.82x = 613.94 × 287.58
  4. Step 4: Simplify right side
    444.82x = 176,556.87
  5. Step 5: Solve for x
    x = 176,556.87/444.82
  6. Step 6: Final answer
    x = 396.92

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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.