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Finding the Fourth Proportional to 1,292.97, 1,939 and 415.29

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Solution

The fourth proportional to 1,292.97, 1,939 and 415.29 is: 622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.97 : 1,939 = 415.29 : x
  2. Step 2: Convert to fraction form
    1,292.97/1,939 = 415.29/x
  3. Step 3: Cross multiply
    1,292.97x = 1,939 × 415.29
  4. Step 4: Simplify right side
    1,292.97x = 805,247.31
  5. Step 5: Solve for x
    x = 805,247.31/1,292.97
  6. Step 6: Final answer
    x = 622.79

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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.