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Finding the Fourth Proportional to 1,280.44, 1,920.76 and 414.78

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Solution

The fourth proportional to 1,280.44, 1,920.76 and 414.78 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.44 : 1,920.76 = 414.78 : x
  2. Step 2: Convert to fraction form
    1,280.44/1,920.76 = 414.78/x
  3. Step 3: Cross multiply
    1,280.44x = 1,920.76 × 414.78
  4. Step 4: Simplify right side
    1,280.44x = 796,692.83
  5. Step 5: Solve for x
    x = 796,692.83/1,280.44
  6. Step 6: Final answer
    x = 622.20

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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.