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Finding the Fourth Proportional to 1,836.17, 2,754.42 and 603.58

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Solution

The fourth proportional to 1,836.17, 2,754.42 and 603.58 is: 905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.17 : 2,754.42 = 603.58 : x
  2. Step 2: Convert to fraction form
    1,836.17/2,754.42 = 603.58/x
  3. Step 3: Cross multiply
    1,836.17x = 2,754.42 × 603.58
  4. Step 4: Simplify right side
    1,836.17x = 1,662,512.82
  5. Step 5: Solve for x
    x = 1,662,512.82/1,836.17
  6. Step 6: Final answer
    x = 905.42

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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.