Home / 1,664.32-2,299.44-1,418.24

Finding the Fourth Proportional to 1,664.32, 2,299.44 and 1,418.24

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Solution

The fourth proportional to 1,664.32, 2,299.44 and 1,418.24 is: 1,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.32 : 2,299.44 = 1,418.24 : x
  2. Step 2: Convert to fraction form
    1,664.32/2,299.44 = 1,418.24/x
  3. Step 3: Cross multiply
    1,664.32x = 2,299.44 × 1,418.24
  4. Step 4: Simplify right side
    1,664.32x = 3,261,157.79
  5. Step 5: Solve for x
    x = 3,261,157.79/1,664.32
  6. Step 6: Final answer
    x = 1,959.45

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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.