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Finding the Fourth Proportional to 1,321.69, 1,982.46 and 397.23

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Solution

The fourth proportional to 1,321.69, 1,982.46 and 397.23 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.69 : 1,982.46 = 397.23 : x
  2. Step 2: Convert to fraction form
    1,321.69/1,982.46 = 397.23/x
  3. Step 3: Cross multiply
    1,321.69x = 1,982.46 × 397.23
  4. Step 4: Simplify right side
    1,321.69x = 787,483.66
  5. Step 5: Solve for x
    x = 787,483.66/1,321.69
  6. Step 6: Final answer
    x = 595.82

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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.