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Finding the Fourth Proportional to 849.09, 1,274.07 and 386.81

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Solution

The fourth proportional to 849.09, 1,274.07 and 386.81 is: 580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.09 : 1,274.07 = 386.81 : x
  2. Step 2: Convert to fraction form
    849.09/1,274.07 = 386.81/x
  3. Step 3: Cross multiply
    849.09x = 1,274.07 × 386.81
  4. Step 4: Simplify right side
    849.09x = 492,816.65
  5. Step 5: Solve for x
    x = 492,816.65/849.09
  6. Step 6: Final answer
    x = 580.41

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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.