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Finding the Fourth Proportional to 496.78, 685.57 and 300.32

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Solution

The fourth proportional to 496.78, 685.57 and 300.32 is: 414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.78 : 685.57 = 300.32 : x
  2. Step 2: Convert to fraction form
    496.78/685.57 = 300.32/x
  3. Step 3: Cross multiply
    496.78x = 685.57 × 300.32
  4. Step 4: Simplify right side
    496.78x = 205,890.38
  5. Step 5: Solve for x
    x = 205,890.38/496.78
  6. Step 6: Final answer
    x = 414.45

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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.