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Finding the Fourth Proportional to 1,232.89, 1,846.39 and 683.71

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Solution

The fourth proportional to 1,232.89, 1,846.39 and 683.71 is: 1,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.89 : 1,846.39 = 683.71 : x
  2. Step 2: Convert to fraction form
    1,232.89/1,846.39 = 683.71/x
  3. Step 3: Cross multiply
    1,232.89x = 1,846.39 × 683.71
  4. Step 4: Simplify right side
    1,232.89x = 1,262,395.31
  5. Step 5: Solve for x
    x = 1,262,395.31/1,232.89
  6. Step 6: Final answer
    x = 1,023.93

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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.