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Finding the Fourth Proportional to 1,308.58, 1,961.79 and 896.70

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Solution

The fourth proportional to 1,308.58, 1,961.79 and 896.70 is: 1,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.58 : 1,961.79 = 896.70 : x
  2. Step 2: Convert to fraction form
    1,308.58/1,961.79 = 896.70/x
  3. Step 3: Cross multiply
    1,308.58x = 1,961.79 × 896.70
  4. Step 4: Simplify right side
    1,308.58x = 1,759,137.09
  5. Step 5: Solve for x
    x = 1,759,137.09/1,308.58
  6. Step 6: Final answer
    x = 1,344.31

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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.