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Finding the Fourth Proportional to 1,199.33, 1,651.76 and 1,033.48

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Solution

The fourth proportional to 1,199.33, 1,651.76 and 1,033.48 is: 1,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.33 : 1,651.76 = 1,033.48 : x
  2. Step 2: Convert to fraction form
    1,199.33/1,651.76 = 1,033.48/x
  3. Step 3: Cross multiply
    1,199.33x = 1,651.76 × 1,033.48
  4. Step 4: Simplify right side
    1,199.33x = 1,707,067.51
  5. Step 5: Solve for x
    x = 1,707,067.51/1,199.33
  6. Step 6: Final answer
    x = 1,423.35

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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.