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Finding the Fourth Proportional to 1,394.63, 2,091.72 and 407.21

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Solution

The fourth proportional to 1,394.63, 2,091.72 and 407.21 is: 610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.63 : 2,091.72 = 407.21 : x
  2. Step 2: Convert to fraction form
    1,394.63/2,091.72 = 407.21/x
  3. Step 3: Cross multiply
    1,394.63x = 2,091.72 × 407.21
  4. Step 4: Simplify right side
    1,394.63x = 851,773.73
  5. Step 5: Solve for x
    x = 851,773.73/1,394.63
  6. Step 6: Final answer
    x = 610.75

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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.