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Finding the Fourth Proportional to 882.85, 1,321.31 and 814.05

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Solution

The fourth proportional to 882.85, 1,321.31 and 814.05 is: 1,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.85 : 1,321.31 = 814.05 : x
  2. Step 2: Convert to fraction form
    882.85/1,321.31 = 814.05/x
  3. Step 3: Cross multiply
    882.85x = 1,321.31 × 814.05
  4. Step 4: Simplify right side
    882.85x = 1,075,614.44
  5. Step 5: Solve for x
    x = 1,075,614.44/882.85
  6. Step 6: Final answer
    x = 1,218.34

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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.