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Finding the Fourth Proportional to 1,428.87, 2,142.96 and 551.08

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Solution

The fourth proportional to 1,428.87, 2,142.96 and 551.08 is: 826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.87 : 2,142.96 = 551.08 : x
  2. Step 2: Convert to fraction form
    1,428.87/2,142.96 = 551.08/x
  3. Step 3: Cross multiply
    1,428.87x = 2,142.96 × 551.08
  4. Step 4: Simplify right side
    1,428.87x = 1,180,942.40
  5. Step 5: Solve for x
    x = 1,180,942.40/1,428.87
  6. Step 6: Final answer
    x = 826.49

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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.