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Finding the Fourth Proportional to 881.94, 1,321.14 and 420.18

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Solution

The fourth proportional to 881.94, 1,321.14 and 420.18 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.94 : 1,321.14 = 420.18 : x
  2. Step 2: Convert to fraction form
    881.94/1,321.14 = 420.18/x
  3. Step 3: Cross multiply
    881.94x = 1,321.14 × 420.18
  4. Step 4: Simplify right side
    881.94x = 555,116.61
  5. Step 5: Solve for x
    x = 555,116.61/881.94
  6. Step 6: Final answer
    x = 629.43

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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.