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Finding the Fourth Proportional to 1,431.33, 1,975.49 and 833.77

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Solution

The fourth proportional to 1,431.33, 1,975.49 and 833.77 is: 1,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.33 : 1,975.49 = 833.77 : x
  2. Step 2: Convert to fraction form
    1,431.33/1,975.49 = 833.77/x
  3. Step 3: Cross multiply
    1,431.33x = 1,975.49 × 833.77
  4. Step 4: Simplify right side
    1,431.33x = 1,647,104.30
  5. Step 5: Solve for x
    x = 1,647,104.30/1,431.33
  6. Step 6: Final answer
    x = 1,150.75

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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.