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Finding the Fourth Proportional to 2,068.64, 3,103.46 and 770.12

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Solution

The fourth proportional to 2,068.64, 3,103.46 and 770.12 is: 1,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.64 : 3,103.46 = 770.12 : x
  2. Step 2: Convert to fraction form
    2,068.64/3,103.46 = 770.12/x
  3. Step 3: Cross multiply
    2,068.64x = 3,103.46 × 770.12
  4. Step 4: Simplify right side
    2,068.64x = 2,390,036.62
  5. Step 5: Solve for x
    x = 2,390,036.62/2,068.64
  6. Step 6: Final answer
    x = 1,155.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.