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Finding the Fourth Proportional to 685.07, 1,028.37 and 682.10

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Solution

The fourth proportional to 685.07, 1,028.37 and 682.10 is: 1,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.07 : 1,028.37 = 682.10 : x
  2. Step 2: Convert to fraction form
    685.07/1,028.37 = 682.10/x
  3. Step 3: Cross multiply
    685.07x = 1,028.37 × 682.10
  4. Step 4: Simplify right side
    685.07x = 701,451.18
  5. Step 5: Solve for x
    x = 701,451.18/685.07
  6. Step 6: Final answer
    x = 1,023.91

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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.