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Finding the Fourth Proportional to 1,329.78, 1,833.86 and 832.44

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Solution

The fourth proportional to 1,329.78, 1,833.86 and 832.44 is: 1,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.78 : 1,833.86 = 832.44 : x
  2. Step 2: Convert to fraction form
    1,329.78/1,833.86 = 832.44/x
  3. Step 3: Cross multiply
    1,329.78x = 1,833.86 × 832.44
  4. Step 4: Simplify right side
    1,329.78x = 1,526,574.26
  5. Step 5: Solve for x
    x = 1,526,574.26/1,329.78
  6. Step 6: Final answer
    x = 1,147.99

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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.