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Finding the Fourth Proportional to 1,380.77, 2,069.75 and 455.73

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Solution

The fourth proportional to 1,380.77, 2,069.75 and 455.73 is: 683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.77 : 2,069.75 = 455.73 : x
  2. Step 2: Convert to fraction form
    1,380.77/2,069.75 = 455.73/x
  3. Step 3: Cross multiply
    1,380.77x = 2,069.75 × 455.73
  4. Step 4: Simplify right side
    1,380.77x = 943,240.55
  5. Step 5: Solve for x
    x = 943,240.55/1,380.77
  6. Step 6: Final answer
    x = 683.13

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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.