Home / 1,321.97-1,983.23-456.17

Finding the Fourth Proportional to 1,321.97, 1,983.23 and 456.17

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Solution

The fourth proportional to 1,321.97, 1,983.23 and 456.17 is: 684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.97 : 1,983.23 = 456.17 : x
  2. Step 2: Convert to fraction form
    1,321.97/1,983.23 = 456.17/x
  3. Step 3: Cross multiply
    1,321.97x = 1,983.23 × 456.17
  4. Step 4: Simplify right side
    1,321.97x = 904,687.75
  5. Step 5: Solve for x
    x = 904,687.75/1,321.97
  6. Step 6: Final answer
    x = 684.35

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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.