Home / 1,578.20-2,367.30-711.50

Finding the Fourth Proportional to 1,578.20, 2,367.30 and 711.50

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Solution

The fourth proportional to 1,578.20, 2,367.30 and 711.50 is: 1,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.20 : 2,367.30 = 711.50 : x
  2. Step 2: Convert to fraction form
    1,578.20/2,367.30 = 711.50/x
  3. Step 3: Cross multiply
    1,578.20x = 2,367.30 × 711.50
  4. Step 4: Simplify right side
    1,578.20x = 1,684,333.95
  5. Step 5: Solve for x
    x = 1,684,333.95/1,578.20
  6. Step 6: Final answer
    x = 1,067.25

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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.