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Finding the Fourth Proportional to 1,769.46, 2,655.31 and 989.98

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Solution

The fourth proportional to 1,769.46, 2,655.31 and 989.98 is: 1,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.46 : 2,655.31 = 989.98 : x
  2. Step 2: Convert to fraction form
    1,769.46/2,655.31 = 989.98/x
  3. Step 3: Cross multiply
    1,769.46x = 2,655.31 × 989.98
  4. Step 4: Simplify right side
    1,769.46x = 2,628,694.68
  5. Step 5: Solve for x
    x = 2,628,694.68/1,769.46
  6. Step 6: Final answer
    x = 1,485.59

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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.