Home / 1,211.06-1,671.36-769.34

Finding the Fourth Proportional to 1,211.06, 1,671.36 and 769.34

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Solution

The fourth proportional to 1,211.06, 1,671.36 and 769.34 is: 1,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.06 : 1,671.36 = 769.34 : x
  2. Step 2: Convert to fraction form
    1,211.06/1,671.36 = 769.34/x
  3. Step 3: Cross multiply
    1,211.06x = 1,671.36 × 769.34
  4. Step 4: Simplify right side
    1,211.06x = 1,285,844.10
  5. Step 5: Solve for x
    x = 1,285,844.10/1,211.06
  6. Step 6: Final answer
    x = 1,061.75

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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.