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Finding the Fourth Proportional to 1,745.44, 2,620.03 and 706.12

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Solution

The fourth proportional to 1,745.44, 2,620.03 and 706.12 is: 1,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.44 : 2,620.03 = 706.12 : x
  2. Step 2: Convert to fraction form
    1,745.44/2,620.03 = 706.12/x
  3. Step 3: Cross multiply
    1,745.44x = 2,620.03 × 706.12
  4. Step 4: Simplify right side
    1,745.44x = 1,850,066.83
  5. Step 5: Solve for x
    x = 1,850,066.83/1,745.44
  6. Step 6: Final answer
    x = 1,059.94

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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.