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Finding the Fourth Proportional to 1,804.82, 2,706.93 and 635.69

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Solution

The fourth proportional to 1,804.82, 2,706.93 and 635.69 is: 953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.82 : 2,706.93 = 635.69 : x
  2. Step 2: Convert to fraction form
    1,804.82/2,706.93 = 635.69/x
  3. Step 3: Cross multiply
    1,804.82x = 2,706.93 × 635.69
  4. Step 4: Simplify right side
    1,804.82x = 1,720,768.33
  5. Step 5: Solve for x
    x = 1,720,768.33/1,804.82
  6. Step 6: Final answer
    x = 953.43

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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.