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Finding the Fourth Proportional to 1,919.46, 2,878.58 and 620.63

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Solution

The fourth proportional to 1,919.46, 2,878.58 and 620.63 is: 930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.46 : 2,878.58 = 620.63 : x
  2. Step 2: Convert to fraction form
    1,919.46/2,878.58 = 620.63/x
  3. Step 3: Cross multiply
    1,919.46x = 2,878.58 × 620.63
  4. Step 4: Simplify right side
    1,919.46x = 1,786,533.11
  5. Step 5: Solve for x
    x = 1,786,533.11/1,919.46
  6. Step 6: Final answer
    x = 930.75

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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.