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Finding the Fourth Proportional to 496.78, 685.56 and 287.04

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Solution

The fourth proportional to 496.78, 685.56 and 287.04 is: 396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.78 : 685.56 = 287.04 : x
  2. Step 2: Convert to fraction form
    496.78/685.56 = 287.04/x
  3. Step 3: Cross multiply
    496.78x = 685.56 × 287.04
  4. Step 4: Simplify right side
    496.78x = 196,786.79
  5. Step 5: Solve for x
    x = 196,786.79/496.78
  6. Step 6: Final answer
    x = 396.12

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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.