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Finding the Fourth Proportional to 1,629.60, 2,438.80 and 980.80

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Solution

The fourth proportional to 1,629.60, 2,438.80 and 980.80 is: 1,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.60 : 2,438.80 = 980.80 : x
  2. Step 2: Convert to fraction form
    1,629.60/2,438.80 = 980.80/x
  3. Step 3: Cross multiply
    1,629.60x = 2,438.80 × 980.80
  4. Step 4: Simplify right side
    1,629.60x = 2,391,975.04
  5. Step 5: Solve for x
    x = 2,391,975.04/1,629.60
  6. Step 6: Final answer
    x = 1,467.83

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1.5x scale

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.