Home / 1,196.20-1,649.60-776.67

Finding the Fourth Proportional to 1,196.20, 1,649.60 and 776.67

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Solution

The fourth proportional to 1,196.20, 1,649.60 and 776.67 is: 1,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.20 : 1,649.60 = 776.67 : x
  2. Step 2: Convert to fraction form
    1,196.20/1,649.60 = 776.67/x
  3. Step 3: Cross multiply
    1,196.20x = 1,649.60 × 776.67
  4. Step 4: Simplify right side
    1,196.20x = 1,281,187.68
  5. Step 5: Solve for x
    x = 1,281,187.68/1,196.20
  6. Step 6: Final answer
    x = 1,071.05

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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.