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Finding the Fourth Proportional to 986.76, 1,361.18 and 613.60

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Solution

The fourth proportional to 986.76, 1,361.18 and 613.60 is: 846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.76 : 1,361.18 = 613.60 : x
  2. Step 2: Convert to fraction form
    986.76/1,361.18 = 613.60/x
  3. Step 3: Cross multiply
    986.76x = 1,361.18 × 613.60
  4. Step 4: Simplify right side
    986.76x = 835,220.05
  5. Step 5: Solve for x
    x = 835,220.05/986.76
  6. Step 6: Final answer
    x = 846.43

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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.