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Finding the Fourth Proportional to 1,271.80, 1,905.88 and 998.43

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Solution

The fourth proportional to 1,271.80, 1,905.88 and 998.43 is: 1,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.80 : 1,905.88 = 998.43 : x
  2. Step 2: Convert to fraction form
    1,271.80/1,905.88 = 998.43/x
  3. Step 3: Cross multiply
    1,271.80x = 1,905.88 × 998.43
  4. Step 4: Simplify right side
    1,271.80x = 1,902,880.00
  5. Step 5: Solve for x
    x = 1,902,880.00/1,271.80
  6. Step 6: Final answer
    x = 1,496.21

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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.