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Finding the Fourth Proportional to 1,426.75, 2,140.03 and 452.78

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Solution

The fourth proportional to 1,426.75, 2,140.03 and 452.78 is: 679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.75 : 2,140.03 = 452.78 : x
  2. Step 2: Convert to fraction form
    1,426.75/2,140.03 = 452.78/x
  3. Step 3: Cross multiply
    1,426.75x = 2,140.03 × 452.78
  4. Step 4: Simplify right side
    1,426.75x = 968,958.30
  5. Step 5: Solve for x
    x = 968,958.30/1,426.75
  6. Step 6: Final answer
    x = 679.14

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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.