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Finding the Fourth Proportional to 1,290.79, 1,935.95 and 796.43

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Solution

The fourth proportional to 1,290.79, 1,935.95 and 796.43 is: 1,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.79 : 1,935.95 = 796.43 : x
  2. Step 2: Convert to fraction form
    1,290.79/1,935.95 = 796.43/x
  3. Step 3: Cross multiply
    1,290.79x = 1,935.95 × 796.43
  4. Step 4: Simplify right side
    1,290.79x = 1,541,854.00
  5. Step 5: Solve for x
    x = 1,541,854.00/1,290.79
  6. Step 6: Final answer
    x = 1,194.51

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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.