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Finding the Fourth Proportional to 1,199.40, 1,644.84 and 1,149.50

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Solution

The fourth proportional to 1,199.40, 1,644.84 and 1,149.50 is: 1,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.40 : 1,644.84 = 1,149.50 : x
  2. Step 2: Convert to fraction form
    1,199.40/1,644.84 = 1,149.50/x
  3. Step 3: Cross multiply
    1,199.40x = 1,644.84 × 1,149.50
  4. Step 4: Simplify right side
    1,199.40x = 1,890,743.58
  5. Step 5: Solve for x
    x = 1,890,743.58/1,199.40
  6. Step 6: Final answer
    x = 1,576.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.