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Finding the Fourth Proportional to 1,321.43, 1,982.17 and 500.09

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Solution

The fourth proportional to 1,321.43, 1,982.17 and 500.09 is: 750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.43 : 1,982.17 = 500.09 : x
  2. Step 2: Convert to fraction form
    1,321.43/1,982.17 = 500.09/x
  3. Step 3: Cross multiply
    1,321.43x = 1,982.17 × 500.09
  4. Step 4: Simplify right side
    1,321.43x = 991,255.94
  5. Step 5: Solve for x
    x = 991,255.94/1,321.43
  6. Step 6: Final answer
    x = 750.14

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1.5x scale

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.