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Finding the Fourth Proportional to 1,268, 1,900.57 and 958.85

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Solution

The fourth proportional to 1,268, 1,900.57 and 958.85 is: 1,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268 : 1,900.57 = 958.85 : x
  2. Step 2: Convert to fraction form
    1,268/1,900.57 = 958.85/x
  3. Step 3: Cross multiply
    1,268x = 1,900.57 × 958.85
  4. Step 4: Simplify right side
    1,268x = 1,822,361.54
  5. Step 5: Solve for x
    x = 1,822,361.54/1,268
  6. Step 6: Final answer
    x = 1,437.19

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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.