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Finding the Fourth Proportional to 1,280.36, 1,920.32 and 414.56

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Solution

The fourth proportional to 1,280.36, 1,920.32 and 414.56 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.36 : 1,920.32 = 414.56 : x
  2. Step 2: Convert to fraction form
    1,280.36/1,920.32 = 414.56/x
  3. Step 3: Cross multiply
    1,280.36x = 1,920.32 × 414.56
  4. Step 4: Simplify right side
    1,280.36x = 796,087.86
  5. Step 5: Solve for x
    x = 796,087.86/1,280.36
  6. Step 6: Final answer
    x = 621.77

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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.