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Finding the Fourth Proportional to 1,263.63, 1,893.61 and 678.17

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Solution

The fourth proportional to 1,263.63, 1,893.61 and 678.17 is: 1,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.63 : 1,893.61 = 678.17 : x
  2. Step 2: Convert to fraction form
    1,263.63/1,893.61 = 678.17/x
  3. Step 3: Cross multiply
    1,263.63x = 1,893.61 × 678.17
  4. Step 4: Simplify right side
    1,263.63x = 1,284,195.08
  5. Step 5: Solve for x
    x = 1,284,195.08/1,263.63
  6. Step 6: Final answer
    x = 1,016.27

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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.