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Finding the Fourth Proportional to 685.97, 1,028.49 and 454.15

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Solution

The fourth proportional to 685.97, 1,028.49 and 454.15 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 1,028.49 = 454.15 : x
  2. Step 2: Convert to fraction form
    685.97/1,028.49 = 454.15/x
  3. Step 3: Cross multiply
    685.97x = 1,028.49 × 454.15
  4. Step 4: Simplify right side
    685.97x = 467,083.59
  5. Step 5: Solve for x
    x = 467,083.59/685.97
  6. Step 6: Final answer
    x = 680.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.