Home / 1,280.26-1,920.52-414.60

Finding the Fourth Proportional to 1,280.26, 1,920.52 and 414.60

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Solution

The fourth proportional to 1,280.26, 1,920.52 and 414.60 is: 621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.26 : 1,920.52 = 414.60 : x
  2. Step 2: Convert to fraction form
    1,280.26/1,920.52 = 414.60/x
  3. Step 3: Cross multiply
    1,280.26x = 1,920.52 × 414.60
  4. Step 4: Simplify right side
    1,280.26x = 796,247.59
  5. Step 5: Solve for x
    x = 796,247.59/1,280.26
  6. Step 6: Final answer
    x = 621.94

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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.