Home / 1,120.36-1,678.48-811.44

Finding the Fourth Proportional to 1,120.36, 1,678.48 and 811.44

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Solution

The fourth proportional to 1,120.36, 1,678.48 and 811.44 is: 1,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.36 : 1,678.48 = 811.44 : x
  2. Step 2: Convert to fraction form
    1,120.36/1,678.48 = 811.44/x
  3. Step 3: Cross multiply
    1,120.36x = 1,678.48 × 811.44
  4. Step 4: Simplify right side
    1,120.36x = 1,361,985.81
  5. Step 5: Solve for x
    x = 1,361,985.81/1,120.36
  6. Step 6: Final answer
    x = 1,215.67

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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.