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Finding the Fourth Proportional to 1,304.58, 1,956.87 and 791.94

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Solution

The fourth proportional to 1,304.58, 1,956.87 and 791.94 is: 1,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.58 : 1,956.87 = 791.94 : x
  2. Step 2: Convert to fraction form
    1,304.58/1,956.87 = 791.94/x
  3. Step 3: Cross multiply
    1,304.58x = 1,956.87 × 791.94
  4. Step 4: Simplify right side
    1,304.58x = 1,549,723.63
  5. Step 5: Solve for x
    x = 1,549,723.63/1,304.58
  6. Step 6: Final answer
    x = 1,187.91

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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.