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Finding the Fourth Proportional to 1,176.72, 1,620.19 and 999.31

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Solution

The fourth proportional to 1,176.72, 1,620.19 and 999.31 is: 1,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.72 : 1,620.19 = 999.31 : x
  2. Step 2: Convert to fraction form
    1,176.72/1,620.19 = 999.31/x
  3. Step 3: Cross multiply
    1,176.72x = 1,620.19 × 999.31
  4. Step 4: Simplify right side
    1,176.72x = 1,619,067.07
  5. Step 5: Solve for x
    x = 1,619,067.07/1,176.72
  6. Step 6: Final answer
    x = 1,375.92

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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.