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Finding the Fourth Proportional to 1,745.15, 2,617.03 and 770.56

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Solution

The fourth proportional to 1,745.15, 2,617.03 and 770.56 is: 1,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.15 : 2,617.03 = 770.56 : x
  2. Step 2: Convert to fraction form
    1,745.15/2,617.03 = 770.56/x
  3. Step 3: Cross multiply
    1,745.15x = 2,617.03 × 770.56
  4. Step 4: Simplify right side
    1,745.15x = 2,016,583.44
  5. Step 5: Solve for x
    x = 2,016,583.44/1,745.15
  6. Step 6: Final answer
    x = 1,155.54

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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.