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Finding the Fourth Proportional to 989.45, 1,482.74 and 676.80

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Solution

The fourth proportional to 989.45, 1,482.74 and 676.80 is: 1,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.45 : 1,482.74 = 676.80 : x
  2. Step 2: Convert to fraction form
    989.45/1,482.74 = 676.80/x
  3. Step 3: Cross multiply
    989.45x = 1,482.74 × 676.80
  4. Step 4: Simplify right side
    989.45x = 1,003,517.59
  5. Step 5: Solve for x
    x = 1,003,517.59/989.45
  6. Step 6: Final answer
    x = 1,014.22

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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.