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Finding the Fourth Proportional to 1,268.97, 1,901.79 and 782.34

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Solution

The fourth proportional to 1,268.97, 1,901.79 and 782.34 is: 1,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.97 : 1,901.79 = 782.34 : x
  2. Step 2: Convert to fraction form
    1,268.97/1,901.79 = 782.34/x
  3. Step 3: Cross multiply
    1,268.97x = 1,901.79 × 782.34
  4. Step 4: Simplify right side
    1,268.97x = 1,487,846.39
  5. Step 5: Solve for x
    x = 1,487,846.39/1,268.97
  6. Step 6: Final answer
    x = 1,172.48

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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.