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Finding the Fourth Proportional to 1,836.25, 2,754.42 and 468.25

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Solution

The fourth proportional to 1,836.25, 2,754.42 and 468.25 is: 702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.25 : 2,754.42 = 468.25 : x
  2. Step 2: Convert to fraction form
    1,836.25/2,754.42 = 468.25/x
  3. Step 3: Cross multiply
    1,836.25x = 2,754.42 × 468.25
  4. Step 4: Simplify right side
    1,836.25x = 1,289,757.17
  5. Step 5: Solve for x
    x = 1,289,757.17/1,836.25
  6. Step 6: Final answer
    x = 702.39

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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.