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Finding the Fourth Proportional to 986.76, 1,361.88 and 613.80

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Solution

The fourth proportional to 986.76, 1,361.88 and 613.80 is: 847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.76 : 1,361.88 = 613.80 : x
  2. Step 2: Convert to fraction form
    986.76/1,361.88 = 613.80/x
  3. Step 3: Cross multiply
    986.76x = 1,361.88 × 613.80
  4. Step 4: Simplify right side
    986.76x = 835,921.94
  5. Step 5: Solve for x
    x = 835,921.94/986.76
  6. Step 6: Final answer
    x = 847.14

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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.