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Finding the Fourth Proportional to 994.77, 1,370.16 and 989.30

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Solution

The fourth proportional to 994.77, 1,370.16 and 989.30 is: 1,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.77 : 1,370.16 = 989.30 : x
  2. Step 2: Convert to fraction form
    994.77/1,370.16 = 989.30/x
  3. Step 3: Cross multiply
    994.77x = 1,370.16 × 989.30
  4. Step 4: Simplify right side
    994.77x = 1,355,492.44
  5. Step 5: Solve for x
    x = 1,355,492.44/994.77
  6. Step 6: Final answer
    x = 1,362.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.