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Finding the Fourth Proportional to 1,175.89, 1,619.03 and 998.48

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Solution

The fourth proportional to 1,175.89, 1,619.03 and 998.48 is: 1,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.89 : 1,619.03 = 998.48 : x
  2. Step 2: Convert to fraction form
    1,175.89/1,619.03 = 998.48/x
  3. Step 3: Cross multiply
    1,175.89x = 1,619.03 × 998.48
  4. Step 4: Simplify right side
    1,175.89x = 1,616,558.48
  5. Step 5: Solve for x
    x = 1,616,558.48/1,175.89
  6. Step 6: Final answer
    x = 1,374.76

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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.