Home / 1,228.40-1,702.94-1,162.64

Finding the Fourth Proportional to 1,228.40, 1,702.94 and 1,162.64

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Solution

The fourth proportional to 1,228.40, 1,702.94 and 1,162.64 is: 1,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.40 : 1,702.94 = 1,162.64 : x
  2. Step 2: Convert to fraction form
    1,228.40/1,702.94 = 1,162.64/x
  3. Step 3: Cross multiply
    1,228.40x = 1,702.94 × 1,162.64
  4. Step 4: Simplify right side
    1,228.40x = 1,979,906.16
  5. Step 5: Solve for x
    x = 1,979,906.16/1,228.40
  6. Step 6: Final answer
    x = 1,611.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.