Home / 2,004.18-3,005.19-770.46

Finding the Fourth Proportional to 2,004.18, 3,005.19 and 770.46

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Solution

The fourth proportional to 2,004.18, 3,005.19 and 770.46 is: 1,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.18 : 3,005.19 = 770.46 : x
  2. Step 2: Convert to fraction form
    2,004.18/3,005.19 = 770.46/x
  3. Step 3: Cross multiply
    2,004.18x = 3,005.19 × 770.46
  4. Step 4: Simplify right side
    2,004.18x = 2,315,378.69
  5. Step 5: Solve for x
    x = 2,315,378.69/2,004.18
  6. Step 6: Final answer
    x = 1,155.27

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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.