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Finding the Fourth Proportional to 796.36, 1,186.32 and 772.18

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Solution

The fourth proportional to 796.36, 1,186.32 and 772.18 is: 1,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.36 : 1,186.32 = 772.18 : x
  2. Step 2: Convert to fraction form
    796.36/1,186.32 = 772.18/x
  3. Step 3: Cross multiply
    796.36x = 1,186.32 × 772.18
  4. Step 4: Simplify right side
    796.36x = 916,052.51
  5. Step 5: Solve for x
    x = 916,052.51/796.36
  6. Step 6: Final answer
    x = 1,150.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.