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Finding the Fourth Proportional to 1,321.75, 1,982.76 and 456.07

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Solution

The fourth proportional to 1,321.75, 1,982.76 and 456.07 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.75 : 1,982.76 = 456.07 : x
  2. Step 2: Convert to fraction form
    1,321.75/1,982.76 = 456.07/x
  3. Step 3: Cross multiply
    1,321.75x = 1,982.76 × 456.07
  4. Step 4: Simplify right side
    1,321.75x = 904,267.44
  5. Step 5: Solve for x
    x = 904,267.44/1,321.75
  6. Step 6: Final answer
    x = 684.14

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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.