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Finding the Fourth Proportional to 1,230.25, 1,843.74 and 682.69

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Solution

The fourth proportional to 1,230.25, 1,843.74 and 682.69 is: 1,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.25 : 1,843.74 = 682.69 : x
  2. Step 2: Convert to fraction form
    1,230.25/1,843.74 = 682.69/x
  3. Step 3: Cross multiply
    1,230.25x = 1,843.74 × 682.69
  4. Step 4: Simplify right side
    1,230.25x = 1,258,702.86
  5. Step 5: Solve for x
    x = 1,258,702.86/1,230.25
  6. Step 6: Final answer
    x = 1,023.13

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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.