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Finding the Fourth Proportional to 1,300.84, 1,791.50 and 1,296.78

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Solution

The fourth proportional to 1,300.84, 1,791.50 and 1,296.78 is: 1,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.84 : 1,791.50 = 1,296.78 : x
  2. Step 2: Convert to fraction form
    1,300.84/1,791.50 = 1,296.78/x
  3. Step 3: Cross multiply
    1,300.84x = 1,791.50 × 1,296.78
  4. Step 4: Simplify right side
    1,300.84x = 2,323,181.37
  5. Step 5: Solve for x
    x = 2,323,181.37/1,300.84
  6. Step 6: Final answer
    x = 1,785.91

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