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Finding the Fourth Proportional to 881.21, 1,322.03 and 412.63

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Solution

The fourth proportional to 881.21, 1,322.03 and 412.63 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.21 : 1,322.03 = 412.63 : x
  2. Step 2: Convert to fraction form
    881.21/1,322.03 = 412.63/x
  3. Step 3: Cross multiply
    881.21x = 1,322.03 × 412.63
  4. Step 4: Simplify right side
    881.21x = 545,506.97
  5. Step 5: Solve for x
    x = 545,506.97/881.21
  6. Step 6: Final answer
    x = 619.04

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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.