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Finding the Fourth Proportional to 1,426.97, 2,140.29 and 452.99

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Solution

The fourth proportional to 1,426.97, 2,140.29 and 452.99 is: 679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.97 : 2,140.29 = 452.99 : x
  2. Step 2: Convert to fraction form
    1,426.97/2,140.29 = 452.99/x
  3. Step 3: Cross multiply
    1,426.97x = 2,140.29 × 452.99
  4. Step 4: Simplify right side
    1,426.97x = 969,519.27
  5. Step 5: Solve for x
    x = 969,519.27/1,426.97
  6. Step 6: Final answer
    x = 679.43

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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.