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Finding the Fourth Proportional to 678, 935.64 and 445.54

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Solution

The fourth proportional to 678, 935.64 and 445.54 is: 614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 935.64 = 445.54 : x
  2. Step 2: Convert to fraction form
    678/935.64 = 445.54/x
  3. Step 3: Cross multiply
    678x = 935.64 × 445.54
  4. Step 4: Simplify right side
    678x = 416,865.05
  5. Step 5: Solve for x
    x = 416,865.05/678
  6. Step 6: Final answer
    x = 614.85

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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.