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Finding the Fourth Proportional to 1,163.85, 1,745.82 and 514.13

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Solution

The fourth proportional to 1,163.85, 1,745.82 and 514.13 is: 771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.85 : 1,745.82 = 514.13 : x
  2. Step 2: Convert to fraction form
    1,163.85/1,745.82 = 514.13/x
  3. Step 3: Cross multiply
    1,163.85x = 1,745.82 × 514.13
  4. Step 4: Simplify right side
    1,163.85x = 897,569.71
  5. Step 5: Solve for x
    x = 897,569.71/1,163.85
  6. Step 6: Final answer
    x = 771.21

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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.