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Finding the Fourth Proportional to 986.85, 1,361.83 and 613.69

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Solution

The fourth proportional to 986.85, 1,361.83 and 613.69 is: 846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.85 : 1,361.83 = 613.69 : x
  2. Step 2: Convert to fraction form
    986.85/1,361.83 = 613.69/x
  3. Step 3: Cross multiply
    986.85x = 1,361.83 × 613.69
  4. Step 4: Simplify right side
    986.85x = 835,737.66
  5. Step 5: Solve for x
    x = 835,737.66/986.85
  6. Step 6: Final answer
    x = 846.87

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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.