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Finding the Fourth Proportional to 999.16, 1,388.41 and 986.92

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Solution

The fourth proportional to 999.16, 1,388.41 and 986.92 is: 1,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.16 : 1,388.41 = 986.92 : x
  2. Step 2: Convert to fraction form
    999.16/1,388.41 = 986.92/x
  3. Step 3: Cross multiply
    999.16x = 1,388.41 × 986.92
  4. Step 4: Simplify right side
    999.16x = 1,370,249.60
  5. Step 5: Solve for x
    x = 1,370,249.60/999.16
  6. Step 6: Final answer
    x = 1,371.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.