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Finding the Fourth Proportional to 2,965.30, 4,447.96 and 774.03

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Solution

The fourth proportional to 2,965.30, 4,447.96 and 774.03 is: 1,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.30 : 4,447.96 = 774.03 : x
  2. Step 2: Convert to fraction form
    2,965.30/4,447.96 = 774.03/x
  3. Step 3: Cross multiply
    2,965.30x = 4,447.96 × 774.03
  4. Step 4: Simplify right side
    2,965.30x = 3,442,854.48
  5. Step 5: Solve for x
    x = 3,442,854.48/2,965.30
  6. Step 6: Final answer
    x = 1,161.05

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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.