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Finding the Fourth Proportional to 1,321.82, 1,983.49 and 500.68

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Solution

The fourth proportional to 1,321.82, 1,983.49 and 500.68 is: 751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.82 : 1,983.49 = 500.68 : x
  2. Step 2: Convert to fraction form
    1,321.82/1,983.49 = 500.68/x
  3. Step 3: Cross multiply
    1,321.82x = 1,983.49 × 500.68
  4. Step 4: Simplify right side
    1,321.82x = 993,095.00
  5. Step 5: Solve for x
    x = 993,095.00/1,321.82
  6. Step 6: Final answer
    x = 751.31

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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.