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Finding the Fourth Proportional to 1,634.61, 2,453.62 and 813.49

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Solution

The fourth proportional to 1,634.61, 2,453.62 and 813.49 is: 1,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.61 : 2,453.62 = 813.49 : x
  2. Step 2: Convert to fraction form
    1,634.61/2,453.62 = 813.49/x
  3. Step 3: Cross multiply
    1,634.61x = 2,453.62 × 813.49
  4. Step 4: Simplify right side
    1,634.61x = 1,995,995.33
  5. Step 5: Solve for x
    x = 1,995,995.33/1,634.61
  6. Step 6: Final answer
    x = 1,221.08

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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.