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Finding the Fourth Proportional to 1,428.62, 2,142.71 and 388.68

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Solution

The fourth proportional to 1,428.62, 2,142.71 and 388.68 is: 582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.62 : 2,142.71 = 388.68 : x
  2. Step 2: Convert to fraction form
    1,428.62/2,142.71 = 388.68/x
  3. Step 3: Cross multiply
    1,428.62x = 2,142.71 × 388.68
  4. Step 4: Simplify right side
    1,428.62x = 832,826.58
  5. Step 5: Solve for x
    x = 832,826.58/1,428.62
  6. Step 6: Final answer
    x = 582.96

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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.