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Finding the Fourth Proportional to 1,321.05, 1,982.26 and 671.79

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Solution

The fourth proportional to 1,321.05, 1,982.26 and 671.79 is: 1,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.05 : 1,982.26 = 671.79 : x
  2. Step 2: Convert to fraction form
    1,321.05/1,982.26 = 671.79/x
  3. Step 3: Cross multiply
    1,321.05x = 1,982.26 × 671.79
  4. Step 4: Simplify right side
    1,321.05x = 1,331,649.18
  5. Step 5: Solve for x
    x = 1,331,649.18/1,321.05
  6. Step 6: Final answer
    x = 1,008.02

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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.