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Finding the Fourth Proportional to 2,965.50, 4,447.85 and 774.05

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Solution

The fourth proportional to 2,965.50, 4,447.85 and 774.05 is: 1,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.50 : 4,447.85 = 774.05 : x
  2. Step 2: Convert to fraction form
    2,965.50/4,447.85 = 774.05/x
  3. Step 3: Cross multiply
    2,965.50x = 4,447.85 × 774.05
  4. Step 4: Simplify right side
    2,965.50x = 3,442,832.18
  5. Step 5: Solve for x
    x = 3,442,832.18/2,965.50
  6. Step 6: Final answer
    x = 1,160.96

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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.