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Finding the Fourth Proportional to 1,268.26, 1,901.98 and 748.51

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Solution

The fourth proportional to 1,268.26, 1,901.98 and 748.51 is: 1,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.26 : 1,901.98 = 748.51 : x
  2. Step 2: Convert to fraction form
    1,268.26/1,901.98 = 748.51/x
  3. Step 3: Cross multiply
    1,268.26x = 1,901.98 × 748.51
  4. Step 4: Simplify right side
    1,268.26x = 1,423,651.05
  5. Step 5: Solve for x
    x = 1,423,651.05/1,268.26
  6. Step 6: Final answer
    x = 1,122.52

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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.