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Finding the Fourth Proportional to 1,428.23, 2,142.38 and 454.34

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Solution

The fourth proportional to 1,428.23, 2,142.38 and 454.34 is: 681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.23 : 2,142.38 = 454.34 : x
  2. Step 2: Convert to fraction form
    1,428.23/2,142.38 = 454.34/x
  3. Step 3: Cross multiply
    1,428.23x = 2,142.38 × 454.34
  4. Step 4: Simplify right side
    1,428.23x = 973,375.42
  5. Step 5: Solve for x
    x = 973,375.42/1,428.23
  6. Step 6: Final answer
    x = 681.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.