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Finding the Fourth Proportional to 1,325.85, 1,989.08 and 676.43

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Solution

The fourth proportional to 1,325.85, 1,989.08 and 676.43 is: 1,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.85 : 1,989.08 = 676.43 : x
  2. Step 2: Convert to fraction form
    1,325.85/1,989.08 = 676.43/x
  3. Step 3: Cross multiply
    1,325.85x = 1,989.08 × 676.43
  4. Step 4: Simplify right side
    1,325.85x = 1,345,473.38
  5. Step 5: Solve for x
    x = 1,345,473.38/1,325.85
  6. Step 6: Final answer
    x = 1,014.80

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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.