Home / 1,094.30-1,506.82-935.73

Finding the Fourth Proportional to 1,094.30, 1,506.82 and 935.73

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Solution

The fourth proportional to 1,094.30, 1,506.82 and 935.73 is: 1,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.30 : 1,506.82 = 935.73 : x
  2. Step 2: Convert to fraction form
    1,094.30/1,506.82 = 935.73/x
  3. Step 3: Cross multiply
    1,094.30x = 1,506.82 × 935.73
  4. Step 4: Simplify right side
    1,094.30x = 1,409,976.68
  5. Step 5: Solve for x
    x = 1,409,976.68/1,094.30
  6. Step 6: Final answer
    x = 1,288.47

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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.