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Finding the Fourth Proportional to 677.99, 935.60 and 481.76

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Solution

The fourth proportional to 677.99, 935.60 and 481.76 is: 664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.99 : 935.60 = 481.76 : x
  2. Step 2: Convert to fraction form
    677.99/935.60 = 481.76/x
  3. Step 3: Cross multiply
    677.99x = 935.60 × 481.76
  4. Step 4: Simplify right side
    677.99x = 450,734.59
  5. Step 5: Solve for x
    x = 450,734.59/677.99
  6. Step 6: Final answer
    x = 664.81

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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.