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Finding the Fourth Proportional to 1,263.25, 1,895.39 and 678.09

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Solution

The fourth proportional to 1,263.25, 1,895.39 and 678.09 is: 1,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.25 : 1,895.39 = 678.09 : x
  2. Step 2: Convert to fraction form
    1,263.25/1,895.39 = 678.09/x
  3. Step 3: Cross multiply
    1,263.25x = 1,895.39 × 678.09
  4. Step 4: Simplify right side
    1,263.25x = 1,285,245.01
  5. Step 5: Solve for x
    x = 1,285,245.01/1,263.25
  6. Step 6: Final answer
    x = 1,017.41

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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.