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Finding the Fourth Proportional to 881.30, 1,321.98 and 419.13

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Solution

The fourth proportional to 881.30, 1,321.98 and 419.13 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.30 : 1,321.98 = 419.13 : x
  2. Step 2: Convert to fraction form
    881.30/1,321.98 = 419.13/x
  3. Step 3: Cross multiply
    881.30x = 1,321.98 × 419.13
  4. Step 4: Simplify right side
    881.30x = 554,079.91
  5. Step 5: Solve for x
    x = 554,079.91/881.30
  6. Step 6: Final answer
    x = 628.71

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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.