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Finding the Fourth Proportional to 1,299.73, 1,794.33 and 882.31

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Solution

The fourth proportional to 1,299.73, 1,794.33 and 882.31 is: 1,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.73 : 1,794.33 = 882.31 : x
  2. Step 2: Convert to fraction form
    1,299.73/1,794.33 = 882.31/x
  3. Step 3: Cross multiply
    1,299.73x = 1,794.33 × 882.31
  4. Step 4: Simplify right side
    1,299.73x = 1,583,155.30
  5. Step 5: Solve for x
    x = 1,583,155.30/1,299.73
  6. Step 6: Final answer
    x = 1,218.06

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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.