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Finding the Fourth Proportional to 982.12, 1,354.73 and 771.96

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Solution

The fourth proportional to 982.12, 1,354.73 and 771.96 is: 1,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.12 : 1,354.73 = 771.96 : x
  2. Step 2: Convert to fraction form
    982.12/1,354.73 = 771.96/x
  3. Step 3: Cross multiply
    982.12x = 1,354.73 × 771.96
  4. Step 4: Simplify right side
    982.12x = 1,045,797.37
  5. Step 5: Solve for x
    x = 1,045,797.37/982.12
  6. Step 6: Final answer
    x = 1,064.84

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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.