Home / 1,118.21-1,542.00-869.44

Finding the Fourth Proportional to 1,118.21, 1,542.00 and 869.44

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Solution

The fourth proportional to 1,118.21, 1,542.00 and 869.44 is: 1,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.21 : 1,542.00 = 869.44 : x
  2. Step 2: Convert to fraction form
    1,118.21/1,542.00 = 869.44/x
  3. Step 3: Cross multiply
    1,118.21x = 1,542.00 × 869.44
  4. Step 4: Simplify right side
    1,118.21x = 1,340,678.78
  5. Step 5: Solve for x
    x = 1,340,678.78/1,118.21
  6. Step 6: Final answer
    x = 1,198.95

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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.