Home / 1,589.24-2,383.20-711.80

Finding the Fourth Proportional to 1,589.24, 2,383.20 and 711.80

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Solution

The fourth proportional to 1,589.24, 2,383.20 and 711.80 is: 1,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.24 : 2,383.20 = 711.80 : x
  2. Step 2: Convert to fraction form
    1,589.24/2,383.20 = 711.80/x
  3. Step 3: Cross multiply
    1,589.24x = 2,383.20 × 711.80
  4. Step 4: Simplify right side
    1,589.24x = 1,696,361.76
  5. Step 5: Solve for x
    x = 1,696,361.76/1,589.24
  6. Step 6: Final answer
    x = 1,067.40

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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.