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Finding the Fourth Proportional to 796.36, 1,096.50 and 678.12

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Solution

The fourth proportional to 796.36, 1,096.50 and 678.12 is: 933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.36 : 1,096.50 = 678.12 : x
  2. Step 2: Convert to fraction form
    796.36/1,096.50 = 678.12/x
  3. Step 3: Cross multiply
    796.36x = 1,096.50 × 678.12
  4. Step 4: Simplify right side
    796.36x = 743,558.58
  5. Step 5: Solve for x
    x = 743,558.58/796.36
  6. Step 6: Final answer
    x = 933.70

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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.