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Finding the Fourth Proportional to 986.46, 1,361.79 and 677.58

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Solution

The fourth proportional to 986.46, 1,361.79 and 677.58 is: 935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.46 : 1,361.79 = 677.58 : x
  2. Step 2: Convert to fraction form
    986.46/1,361.79 = 677.58/x
  3. Step 3: Cross multiply
    986.46x = 1,361.79 × 677.58
  4. Step 4: Simplify right side
    986.46x = 922,721.67
  5. Step 5: Solve for x
    x = 922,721.67/986.46
  6. Step 6: Final answer
    x = 935.39

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1.5x scale

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.