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Finding the Fourth Proportional to 1,736.82, 2,603.79 and 811.89

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Solution

The fourth proportional to 1,736.82, 2,603.79 and 811.89 is: 1,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.82 : 2,603.79 = 811.89 : x
  2. Step 2: Convert to fraction form
    1,736.82/2,603.79 = 811.89/x
  3. Step 3: Cross multiply
    1,736.82x = 2,603.79 × 811.89
  4. Step 4: Simplify right side
    1,736.82x = 2,113,991.06
  5. Step 5: Solve for x
    x = 2,113,991.06/1,736.82
  6. Step 6: Final answer
    x = 1,217.16

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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.