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Finding the Fourth Proportional to 1,278.75, 1,916.70 and 969.60

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Solution

The fourth proportional to 1,278.75, 1,916.70 and 969.60 is: 1,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.75 : 1,916.70 = 969.60 : x
  2. Step 2: Convert to fraction form
    1,278.75/1,916.70 = 969.60/x
  3. Step 3: Cross multiply
    1,278.75x = 1,916.70 × 969.60
  4. Step 4: Simplify right side
    1,278.75x = 1,858,432.32
  5. Step 5: Solve for x
    x = 1,858,432.32/1,278.75
  6. Step 6: Final answer
    x = 1,453.32

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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.