Home / 1,026.98-1,418.75-949.22

Finding the Fourth Proportional to 1,026.98, 1,418.75 and 949.22

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Solution

The fourth proportional to 1,026.98, 1,418.75 and 949.22 is: 1,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.98 : 1,418.75 = 949.22 : x
  2. Step 2: Convert to fraction form
    1,026.98/1,418.75 = 949.22/x
  3. Step 3: Cross multiply
    1,026.98x = 1,418.75 × 949.22
  4. Step 4: Simplify right side
    1,026.98x = 1,346,694.04
  5. Step 5: Solve for x
    x = 1,346,694.04/1,026.98
  6. Step 6: Final answer
    x = 1,311.32

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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.