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Finding the Fourth Proportional to 982.78, 1,357.44 and 735.20

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Solution

The fourth proportional to 982.78, 1,357.44 and 735.20 is: 1,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.78 : 1,357.44 = 735.20 : x
  2. Step 2: Convert to fraction form
    982.78/1,357.44 = 735.20/x
  3. Step 3: Cross multiply
    982.78x = 1,357.44 × 735.20
  4. Step 4: Simplify right side
    982.78x = 997,989.89
  5. Step 5: Solve for x
    x = 997,989.89/982.78
  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.