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Finding the Fourth Proportional to 882.09, 1,322.32 and 420.09

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Solution

The fourth proportional to 882.09, 1,322.32 and 420.09 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.09 : 1,322.32 = 420.09 : x
  2. Step 2: Convert to fraction form
    882.09/1,322.32 = 420.09/x
  3. Step 3: Cross multiply
    882.09x = 1,322.32 × 420.09
  4. Step 4: Simplify right side
    882.09x = 555,493.41
  5. Step 5: Solve for x
    x = 555,493.41/882.09
  6. Step 6: Final answer
    x = 629.75

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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.