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Finding the Fourth Proportional to 1,280.94, 1,768.37 and 863.49

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Solution

The fourth proportional to 1,280.94, 1,768.37 and 863.49 is: 1,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.94 : 1,768.37 = 863.49 : x
  2. Step 2: Convert to fraction form
    1,280.94/1,768.37 = 863.49/x
  3. Step 3: Cross multiply
    1,280.94x = 1,768.37 × 863.49
  4. Step 4: Simplify right side
    1,280.94x = 1,526,968.73
  5. Step 5: Solve for x
    x = 1,526,968.73/1,280.94
  6. Step 6: Final answer
    x = 1,192.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.