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Finding the Fourth Proportional to 984.22, 1,355.07 and 786.58

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Solution

The fourth proportional to 984.22, 1,355.07 and 786.58 is: 1,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.22 : 1,355.07 = 786.58 : x
  2. Step 2: Convert to fraction form
    984.22/1,355.07 = 786.58/x
  3. Step 3: Cross multiply
    984.22x = 1,355.07 × 786.58
  4. Step 4: Simplify right side
    984.22x = 1,065,870.96
  5. Step 5: Solve for x
    x = 1,065,870.96/984.22
  6. Step 6: Final answer
    x = 1,082.96

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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.