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Finding the Fourth Proportional to 1,638.09, 2,456.95 and 483.93

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Solution

The fourth proportional to 1,638.09, 2,456.95 and 483.93 is: 725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.09 : 2,456.95 = 483.93 : x
  2. Step 2: Convert to fraction form
    1,638.09/2,456.95 = 483.93/x
  3. Step 3: Cross multiply
    1,638.09x = 2,456.95 × 483.93
  4. Step 4: Simplify right side
    1,638.09x = 1,188,991.81
  5. Step 5: Solve for x
    x = 1,188,991.81/1,638.09
  6. Step 6: Final answer
    x = 725.84

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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.