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Finding the Fourth Proportional to 849.21, 1,169.19 and 662.46

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Solution

The fourth proportional to 849.21, 1,169.19 and 662.46 is: 912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.21 : 1,169.19 = 662.46 : x
  2. Step 2: Convert to fraction form
    849.21/1,169.19 = 662.46/x
  3. Step 3: Cross multiply
    849.21x = 1,169.19 × 662.46
  4. Step 4: Simplify right side
    849.21x = 774,541.61
  5. Step 5: Solve for x
    x = 774,541.61/849.21
  6. Step 6: Final answer
    x = 912.07

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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.