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Finding the Fourth Proportional to 1,428.56, 2,142.64 and 388.63

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Solution

The fourth proportional to 1,428.56, 2,142.64 and 388.63 is: 582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.56 : 2,142.64 = 388.63 : x
  2. Step 2: Convert to fraction form
    1,428.56/2,142.64 = 388.63/x
  3. Step 3: Cross multiply
    1,428.56x = 2,142.64 × 388.63
  4. Step 4: Simplify right side
    1,428.56x = 832,694.18
  5. Step 5: Solve for x
    x = 832,694.18/1,428.56
  6. Step 6: Final answer
    x = 582.89

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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.