Home / 1,078.21-1,618.82-748.36

Finding the Fourth Proportional to 1,078.21, 1,618.82 and 748.36

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Solution

The fourth proportional to 1,078.21, 1,618.82 and 748.36 is: 1,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.21 : 1,618.82 = 748.36 : x
  2. Step 2: Convert to fraction form
    1,078.21/1,618.82 = 748.36/x
  3. Step 3: Cross multiply
    1,078.21x = 1,618.82 × 748.36
  4. Step 4: Simplify right side
    1,078.21x = 1,211,460.14
  5. Step 5: Solve for x
    x = 1,211,460.14/1,078.21
  6. Step 6: Final answer
    x = 1,123.58

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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.