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Finding the Fourth Proportional to 982.35, 1,351.44 and 955.01

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Solution

The fourth proportional to 982.35, 1,351.44 and 955.01 is: 1,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.35 : 1,351.44 = 955.01 : x
  2. Step 2: Convert to fraction form
    982.35/1,351.44 = 955.01/x
  3. Step 3: Cross multiply
    982.35x = 1,351.44 × 955.01
  4. Step 4: Simplify right side
    982.35x = 1,290,642.09
  5. Step 5: Solve for x
    x = 1,290,642.09/982.35
  6. Step 6: Final answer
    x = 1,313.83

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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.