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Finding the Fourth Proportional to 2,969.75, 4,454.87 and 778.46

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Solution

The fourth proportional to 2,969.75, 4,454.87 and 778.46 is: 1,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.75 : 4,454.87 = 778.46 : x
  2. Step 2: Convert to fraction form
    2,969.75/4,454.87 = 778.46/x
  3. Step 3: Cross multiply
    2,969.75x = 4,454.87 × 778.46
  4. Step 4: Simplify right side
    2,969.75x = 3,467,936.99
  5. Step 5: Solve for x
    x = 3,467,936.99/2,969.75
  6. Step 6: Final answer
    x = 1,167.76

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1.5x scale

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.