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Finding the Fourth Proportional to 986.19, 1,361.59 and 613.73

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Solution

The fourth proportional to 986.19, 1,361.59 and 613.73 is: 847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.19 : 1,361.59 = 613.73 : x
  2. Step 2: Convert to fraction form
    986.19/1,361.59 = 613.73/x
  3. Step 3: Cross multiply
    986.19x = 1,361.59 × 613.73
  4. Step 4: Simplify right side
    986.19x = 835,646.29
  5. Step 5: Solve for x
    x = 835,646.29/986.19
  6. Step 6: Final answer
    x = 847.35

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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.