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Finding the Fourth Proportional to 1,232.54, 1,844.13 and 685.16

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Solution

The fourth proportional to 1,232.54, 1,844.13 and 685.16 is: 1,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.54 : 1,844.13 = 685.16 : x
  2. Step 2: Convert to fraction form
    1,232.54/1,844.13 = 685.16/x
  3. Step 3: Cross multiply
    1,232.54x = 1,844.13 × 685.16
  4. Step 4: Simplify right side
    1,232.54x = 1,263,524.11
  5. Step 5: Solve for x
    x = 1,263,524.11/1,232.54
  6. Step 6: Final answer
    x = 1,025.14

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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.