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Finding the Fourth Proportional to 1,174.80, 1,629.30 and 1,120.80

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Solution

The fourth proportional to 1,174.80, 1,629.30 and 1,120.80 is: 1,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.80 : 1,629.30 = 1,120.80 : x
  2. Step 2: Convert to fraction form
    1,174.80/1,629.30 = 1,120.80/x
  3. Step 3: Cross multiply
    1,174.80x = 1,629.30 × 1,120.80
  4. Step 4: Simplify right side
    1,174.80x = 1,826,119.44
  5. Step 5: Solve for x
    x = 1,826,119.44/1,174.80
  6. Step 6: Final answer
    x = 1,554.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.