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Finding the Fourth Proportional to 796.81, 1,195.41 and 636.01

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Solution

The fourth proportional to 796.81, 1,195.41 and 636.01 is: 954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.81 : 1,195.41 = 636.01 : x
  2. Step 2: Convert to fraction form
    796.81/1,195.41 = 636.01/x
  3. Step 3: Cross multiply
    796.81x = 1,195.41 × 636.01
  4. Step 4: Simplify right side
    796.81x = 760,292.71
  5. Step 5: Solve for x
    x = 760,292.71/796.81
  6. Step 6: Final answer
    x = 954.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.