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Finding the Fourth Proportional to 882.52, 1,322.87 and 419.96

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Solution

The fourth proportional to 882.52, 1,322.87 and 419.96 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.52 : 1,322.87 = 419.96 : x
  2. Step 2: Convert to fraction form
    882.52/1,322.87 = 419.96/x
  3. Step 3: Cross multiply
    882.52x = 1,322.87 × 419.96
  4. Step 4: Simplify right side
    882.52x = 555,553.69
  5. Step 5: Solve for x
    x = 555,553.69/882.52
  6. Step 6: Final answer
    x = 629.51

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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.