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Finding the Fourth Proportional to 1,638.83, 2,459.30 and 908.92

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Solution

The fourth proportional to 1,638.83, 2,459.30 and 908.92 is: 1,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.83 : 2,459.30 = 908.92 : x
  2. Step 2: Convert to fraction form
    1,638.83/2,459.30 = 908.92/x
  3. Step 3: Cross multiply
    1,638.83x = 2,459.30 × 908.92
  4. Step 4: Simplify right side
    1,638.83x = 2,235,305.49
  5. Step 5: Solve for x
    x = 2,235,305.49/1,638.83
  6. Step 6: Final answer
    x = 1,363.96

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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.