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Finding the Fourth Proportional to 1,268.94, 1,901.36 and 651.79

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Solution

The fourth proportional to 1,268.94, 1,901.36 and 651.79 is: 976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.94 : 1,901.36 = 651.79 : x
  2. Step 2: Convert to fraction form
    1,268.94/1,901.36 = 651.79/x
  3. Step 3: Cross multiply
    1,268.94x = 1,901.36 × 651.79
  4. Step 4: Simplify right side
    1,268.94x = 1,239,287.77
  5. Step 5: Solve for x
    x = 1,239,287.77/1,268.94
  6. Step 6: Final answer
    x = 976.63

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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.