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Finding the Fourth Proportional to 1,383.44, 2,070.28 and 863.68

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Solution

The fourth proportional to 1,383.44, 2,070.28 and 863.68 is: 1,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.44 : 2,070.28 = 863.68 : x
  2. Step 2: Convert to fraction form
    1,383.44/2,070.28 = 863.68/x
  3. Step 3: Cross multiply
    1,383.44x = 2,070.28 × 863.68
  4. Step 4: Simplify right side
    1,383.44x = 1,788,059.43
  5. Step 5: Solve for x
    x = 1,788,059.43/1,383.44
  6. Step 6: Final answer
    x = 1,292.47

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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.