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Finding the Fourth Proportional to 1,426.85, 1,968.92 and 797.33

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Solution

The fourth proportional to 1,426.85, 1,968.92 and 797.33 is: 1,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.85 : 1,968.92 = 797.33 : x
  2. Step 2: Convert to fraction form
    1,426.85/1,968.92 = 797.33/x
  3. Step 3: Cross multiply
    1,426.85x = 1,968.92 × 797.33
  4. Step 4: Simplify right side
    1,426.85x = 1,569,878.98
  5. Step 5: Solve for x
    x = 1,569,878.98/1,426.85
  6. Step 6: Final answer
    x = 1,100.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.