Home / 1,264.98-1,744.83-823.26

Finding the Fourth Proportional to 1,264.98, 1,744.83 and 823.26

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Solution

The fourth proportional to 1,264.98, 1,744.83 and 823.26 is: 1,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.98 : 1,744.83 = 823.26 : x
  2. Step 2: Convert to fraction form
    1,264.98/1,744.83 = 823.26/x
  3. Step 3: Cross multiply
    1,264.98x = 1,744.83 × 823.26
  4. Step 4: Simplify right side
    1,264.98x = 1,436,448.75
  5. Step 5: Solve for x
    x = 1,436,448.75/1,264.98
  6. Step 6: Final answer
    x = 1,135.55

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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.