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Finding the Fourth Proportional to 1,268.75, 1,901.70 and 959.60

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Solution

The fourth proportional to 1,268.75, 1,901.70 and 959.60 is: 1,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.75 : 1,901.70 = 959.60 : x
  2. Step 2: Convert to fraction form
    1,268.75/1,901.70 = 959.60/x
  3. Step 3: Cross multiply
    1,268.75x = 1,901.70 × 959.60
  4. Step 4: Simplify right side
    1,268.75x = 1,824,871.32
  5. Step 5: Solve for x
    x = 1,824,871.32/1,268.75
  6. Step 6: Final answer
    x = 1,438.32

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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.