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Finding the Fourth Proportional to 982.79, 1,357.44 and 735.21

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Solution

The fourth proportional to 982.79, 1,357.44 and 735.21 is: 1,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.79 : 1,357.44 = 735.21 : x
  2. Step 2: Convert to fraction form
    982.79/1,357.44 = 735.21/x
  3. Step 3: Cross multiply
    982.79x = 1,357.44 × 735.21
  4. Step 4: Simplify right side
    982.79x = 998,003.46
  5. Step 5: Solve for x
    x = 998,003.46/982.79
  6. Step 6: Final answer
    x = 1,015.48

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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.