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Finding the Fourth Proportional to 1,637.81, 2,455.33 and 664.59

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Solution

The fourth proportional to 1,637.81, 2,455.33 and 664.59 is: 996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.81 : 2,455.33 = 664.59 : x
  2. Step 2: Convert to fraction form
    1,637.81/2,455.33 = 664.59/x
  3. Step 3: Cross multiply
    1,637.81x = 2,455.33 × 664.59
  4. Step 4: Simplify right side
    1,637.81x = 1,631,793.90
  5. Step 5: Solve for x
    x = 1,631,793.90/1,637.81
  6. Step 6: Final answer
    x = 996.33

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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.