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Finding the Fourth Proportional to 1,308.33, 1,961.40 and 896.46

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Solution

The fourth proportional to 1,308.33, 1,961.40 and 896.46 is: 1,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.33 : 1,961.40 = 896.46 : x
  2. Step 2: Convert to fraction form
    1,308.33/1,961.40 = 896.46/x
  3. Step 3: Cross multiply
    1,308.33x = 1,961.40 × 896.46
  4. Step 4: Simplify right side
    1,308.33x = 1,758,316.64
  5. Step 5: Solve for x
    x = 1,758,316.64/1,308.33
  6. Step 6: Final answer
    x = 1,343.94

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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.