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Finding the Fourth Proportional to 1,633.20, 2,449.08 and 478.68

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Solution

The fourth proportional to 1,633.20, 2,449.08 and 478.68 is: 717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.20 : 2,449.08 = 478.68 : x
  2. Step 2: Convert to fraction form
    1,633.20/2,449.08 = 478.68/x
  3. Step 3: Cross multiply
    1,633.20x = 2,449.08 × 478.68
  4. Step 4: Simplify right side
    1,633.20x = 1,172,325.61
  5. Step 5: Solve for x
    x = 1,172,325.61/1,633.20
  6. Step 6: Final answer
    x = 717.81

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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.