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Finding the Fourth Proportional to 2,619.18, 3,929.22 and 770.40

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Solution

The fourth proportional to 2,619.18, 3,929.22 and 770.40 is: 1,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.18 : 3,929.22 = 770.40 : x
  2. Step 2: Convert to fraction form
    2,619.18/3,929.22 = 770.40/x
  3. Step 3: Cross multiply
    2,619.18x = 3,929.22 × 770.40
  4. Step 4: Simplify right side
    2,619.18x = 3,027,071.09
  5. Step 5: Solve for x
    x = 3,027,071.09/2,619.18
  6. Step 6: Final answer
    x = 1,155.73

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1.5x scale

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.