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Finding the Fourth Proportional to 1,629.76, 2,441.76 and 860.80

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Solution

The fourth proportional to 1,629.76, 2,441.76 and 860.80 is: 1,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.76 : 2,441.76 = 860.80 : x
  2. Step 2: Convert to fraction form
    1,629.76/2,441.76 = 860.80/x
  3. Step 3: Cross multiply
    1,629.76x = 2,441.76 × 860.80
  4. Step 4: Simplify right side
    1,629.76x = 2,101,867.01
  5. Step 5: Solve for x
    x = 2,101,867.01/1,629.76
  6. Step 6: Final answer
    x = 1,289.68

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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.