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Finding the Fourth Proportional to 1,321.75, 1,982.64 and 456.13

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Solution

The fourth proportional to 1,321.75, 1,982.64 and 456.13 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.75 : 1,982.64 = 456.13 : x
  2. Step 2: Convert to fraction form
    1,321.75/1,982.64 = 456.13/x
  3. Step 3: Cross multiply
    1,321.75x = 1,982.64 × 456.13
  4. Step 4: Simplify right side
    1,321.75x = 904,341.58
  5. Step 5: Solve for x
    x = 904,341.58/1,321.75
  6. Step 6: Final answer
    x = 684.20

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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.