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Finding the Fourth Proportional to 1,154.19, 1,729.08 and 998.49

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Solution

The fourth proportional to 1,154.19, 1,729.08 and 998.49 is: 1,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.19 : 1,729.08 = 998.49 : x
  2. Step 2: Convert to fraction form
    1,154.19/1,729.08 = 998.49/x
  3. Step 3: Cross multiply
    1,154.19x = 1,729.08 × 998.49
  4. Step 4: Simplify right side
    1,154.19x = 1,726,469.09
  5. Step 5: Solve for x
    x = 1,726,469.09/1,154.19
  6. Step 6: Final answer
    x = 1,495.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.