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Finding the Fourth Proportional to 849.36, 1,174.86 and 664.68

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Solution

The fourth proportional to 849.36, 1,174.86 and 664.68 is: 919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.36 : 1,174.86 = 664.68 : x
  2. Step 2: Convert to fraction form
    849.36/1,174.86 = 664.68/x
  3. Step 3: Cross multiply
    849.36x = 1,174.86 × 664.68
  4. Step 4: Simplify right side
    849.36x = 780,905.94
  5. Step 5: Solve for x
    x = 780,905.94/849.36
  6. Step 6: Final answer
    x = 919.41

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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.