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Finding the Fourth Proportional to 1,638.38, 2,457.63 and 484.13

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Solution

The fourth proportional to 1,638.38, 2,457.63 and 484.13 is: 726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.38 : 2,457.63 = 484.13 : x
  2. Step 2: Convert to fraction form
    1,638.38/2,457.63 = 484.13/x
  3. Step 3: Cross multiply
    1,638.38x = 2,457.63 × 484.13
  4. Step 4: Simplify right side
    1,638.38x = 1,189,800.12
  5. Step 5: Solve for x
    x = 1,189,800.12/1,638.38
  6. Step 6: Final answer
    x = 726.21

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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.