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Finding the Fourth Proportional to 1,322.43, 1,983.57 and 542.21

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Solution

The fourth proportional to 1,322.43, 1,983.57 and 542.21 is: 813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.43 : 1,983.57 = 542.21 : x
  2. Step 2: Convert to fraction form
    1,322.43/1,983.57 = 542.21/x
  3. Step 3: Cross multiply
    1,322.43x = 1,983.57 × 542.21
  4. Step 4: Simplify right side
    1,322.43x = 1,075,513.75
  5. Step 5: Solve for x
    x = 1,075,513.75/1,322.43
  6. Step 6: Final answer
    x = 813.29

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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.