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Finding the Fourth Proportional to 1,375.82, 2,063.94 and 498.39

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Solution

The fourth proportional to 1,375.82, 2,063.94 and 498.39 is: 747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.82 : 2,063.94 = 498.39 : x
  2. Step 2: Convert to fraction form
    1,375.82/2,063.94 = 498.39/x
  3. Step 3: Cross multiply
    1,375.82x = 2,063.94 × 498.39
  4. Step 4: Simplify right side
    1,375.82x = 1,028,647.06
  5. Step 5: Solve for x
    x = 1,028,647.06/1,375.82
  6. Step 6: Final answer
    x = 747.66

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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.