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Finding the Fourth Proportional to 2,619.06, 3,929.04 and 770.20

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Solution

The fourth proportional to 2,619.06, 3,929.04 and 770.20 is: 1,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.06 : 3,929.04 = 770.20 : x
  2. Step 2: Convert to fraction form
    2,619.06/3,929.04 = 770.20/x
  3. Step 3: Cross multiply
    2,619.06x = 3,929.04 × 770.20
  4. Step 4: Simplify right side
    2,619.06x = 3,026,146.61
  5. Step 5: Solve for x
    x = 3,026,146.61/2,619.06
  6. Step 6: Final answer
    x = 1,155.43

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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.