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Finding the Fourth Proportional to 1,745.37, 2,408.63 and 959.40

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Solution

The fourth proportional to 1,745.37, 2,408.63 and 959.40 is: 1,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.37 : 2,408.63 = 959.40 : x
  2. Step 2: Convert to fraction form
    1,745.37/2,408.63 = 959.40/x
  3. Step 3: Cross multiply
    1,745.37x = 2,408.63 × 959.40
  4. Step 4: Simplify right side
    1,745.37x = 2,310,834.83
  5. Step 5: Solve for x
    x = 2,310,834.83/1,745.37
  6. Step 6: Final answer
    x = 1,323.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.