Home / 1,306.83-1,960.61-1,163.55

Finding the Fourth Proportional to 1,306.83, 1,960.61 and 1,163.55

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Solution

The fourth proportional to 1,306.83, 1,960.61 and 1,163.55 is: 1,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.83 : 1,960.61 = 1,163.55 : x
  2. Step 2: Convert to fraction form
    1,306.83/1,960.61 = 1,163.55/x
  3. Step 3: Cross multiply
    1,306.83x = 1,960.61 × 1,163.55
  4. Step 4: Simplify right side
    1,306.83x = 2,281,261.95
  5. Step 5: Solve for x
    x = 2,281,261.95/1,306.83
  6. Step 6: Final answer
    x = 1,745.65

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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.