Home / 1,238.03-1,706.66-942.78

Finding the Fourth Proportional to 1,238.03, 1,706.66 and 942.78

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Solution

The fourth proportional to 1,238.03, 1,706.66 and 942.78 is: 1,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.03 : 1,706.66 = 942.78 : x
  2. Step 2: Convert to fraction form
    1,238.03/1,706.66 = 942.78/x
  3. Step 3: Cross multiply
    1,238.03x = 1,706.66 × 942.78
  4. Step 4: Simplify right side
    1,238.03x = 1,609,004.91
  5. Step 5: Solve for x
    x = 1,609,004.91/1,238.03
  6. Step 6: Final answer
    x = 1,299.65

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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.