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Finding the Fourth Proportional to 1,428.44, 2,142.25 and 648

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Solution

The fourth proportional to 1,428.44, 2,142.25 and 648 is: 971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.44 : 2,142.25 = 648 : x
  2. Step 2: Convert to fraction form
    1,428.44/2,142.25 = 648/x
  3. Step 3: Cross multiply
    1,428.44x = 2,142.25 × 648
  4. Step 4: Simplify right side
    1,428.44x = 1,388,176.38
  5. Step 5: Solve for x
    x = 1,388,176.38/1,428.44
  6. Step 6: Final answer
    x = 971.82

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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.