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Finding the Fourth Proportional to 2,765.56, 4,148.38 and 685.56

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Solution

The fourth proportional to 2,765.56, 4,148.38 and 685.56 is: 1,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.56 : 4,148.38 = 685.56 : x
  2. Step 2: Convert to fraction form
    2,765.56/4,148.38 = 685.56/x
  3. Step 3: Cross multiply
    2,765.56x = 4,148.38 × 685.56
  4. Step 4: Simplify right side
    2,765.56x = 2,843,963.39
  5. Step 5: Solve for x
    x = 2,843,963.39/2,765.56
  6. Step 6: Final answer
    x = 1,028.35

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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.