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Finding the Fourth Proportional to 1,412.76, 1,949.62 and 791.76

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Solution

The fourth proportional to 1,412.76, 1,949.62 and 791.76 is: 1,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.76 : 1,949.62 = 791.76 : x
  2. Step 2: Convert to fraction form
    1,412.76/1,949.62 = 791.76/x
  3. Step 3: Cross multiply
    1,412.76x = 1,949.62 × 791.76
  4. Step 4: Simplify right side
    1,412.76x = 1,543,631.13
  5. Step 5: Solve for x
    x = 1,543,631.13/1,412.76
  6. Step 6: Final answer
    x = 1,092.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.