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Finding the Fourth Proportional to 1,610.36, 2,414.86 and 685.88

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Solution

The fourth proportional to 1,610.36, 2,414.86 and 685.88 is: 1,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.36 : 2,414.86 = 685.88 : x
  2. Step 2: Convert to fraction form
    1,610.36/2,414.86 = 685.88/x
  3. Step 3: Cross multiply
    1,610.36x = 2,414.86 × 685.88
  4. Step 4: Simplify right side
    1,610.36x = 1,656,304.18
  5. Step 5: Solve for x
    x = 1,656,304.18/1,610.36
  6. Step 6: Final answer
    x = 1,028.53

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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.