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Finding the Fourth Proportional to 986.30, 1,361.28 and 613.44

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Solution

The fourth proportional to 986.30, 1,361.28 and 613.44 is: 846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.30 : 1,361.28 = 613.44 : x
  2. Step 2: Convert to fraction form
    986.30/1,361.28 = 613.44/x
  3. Step 3: Cross multiply
    986.30x = 1,361.28 × 613.44
  4. Step 4: Simplify right side
    986.30x = 835,063.60
  5. Step 5: Solve for x
    x = 835,063.60/986.30
  6. Step 6: Final answer
    x = 846.66

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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.