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Finding the Fourth Proportional to 1,329.23, 1,833.58 and 797.97

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Solution

The fourth proportional to 1,329.23, 1,833.58 and 797.97 is: 1,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.23 : 1,833.58 = 797.97 : x
  2. Step 2: Convert to fraction form
    1,329.23/1,833.58 = 797.97/x
  3. Step 3: Cross multiply
    1,329.23x = 1,833.58 × 797.97
  4. Step 4: Simplify right side
    1,329.23x = 1,463,141.83
  5. Step 5: Solve for x
    x = 1,463,141.83/1,329.23
  6. Step 6: Final answer
    x = 1,100.74

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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.