Home / 1,029.89-1,546.37-823.85

Finding the Fourth Proportional to 1,029.89, 1,546.37 and 823.85

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Solution

The fourth proportional to 1,029.89, 1,546.37 and 823.85 is: 1,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.89 : 1,546.37 = 823.85 : x
  2. Step 2: Convert to fraction form
    1,029.89/1,546.37 = 823.85/x
  3. Step 3: Cross multiply
    1,029.89x = 1,546.37 × 823.85
  4. Step 4: Simplify right side
    1,029.89x = 1,273,976.92
  5. Step 5: Solve for x
    x = 1,273,976.92/1,029.89
  6. Step 6: Final answer
    x = 1,237.00

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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.