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Finding the Fourth Proportional to 996.54, 1,370.30 and 965.79

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Solution

The fourth proportional to 996.54, 1,370.30 and 965.79 is: 1,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.54 : 1,370.30 = 965.79 : x
  2. Step 2: Convert to fraction form
    996.54/1,370.30 = 965.79/x
  3. Step 3: Cross multiply
    996.54x = 1,370.30 × 965.79
  4. Step 4: Simplify right side
    996.54x = 1,323,422.04
  5. Step 5: Solve for x
    x = 1,323,422.04/996.54
  6. Step 6: Final answer
    x = 1,328.02

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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.