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Finding the Fourth Proportional to 1,428.68, 2,143.36 and 454.78

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Solution

The fourth proportional to 1,428.68, 2,143.36 and 454.78 is: 682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.68 : 2,143.36 = 454.78 : x
  2. Step 2: Convert to fraction form
    1,428.68/2,143.36 = 454.78/x
  3. Step 3: Cross multiply
    1,428.68x = 2,143.36 × 454.78
  4. Step 4: Simplify right side
    1,428.68x = 974,757.26
  5. Step 5: Solve for x
    x = 974,757.26/1,428.68
  6. Step 6: Final answer
    x = 682.28

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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.