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Finding the Fourth Proportional to 882.12, 1,322.57 and 419.54

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Solution

The fourth proportional to 882.12, 1,322.57 and 419.54 is: 629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.12 : 1,322.57 = 419.54 : x
  2. Step 2: Convert to fraction form
    882.12/1,322.57 = 419.54/x
  3. Step 3: Cross multiply
    882.12x = 1,322.57 × 419.54
  4. Step 4: Simplify right side
    882.12x = 554,875.37
  5. Step 5: Solve for x
    x = 554,875.37/882.12
  6. Step 6: Final answer
    x = 629.02

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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.