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Finding the Fourth Proportional to 819.51, 1,226.82 and 493.89

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Solution

The fourth proportional to 819.51, 1,226.82 and 493.89 is: 739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.51 : 1,226.82 = 493.89 : x
  2. Step 2: Convert to fraction form
    819.51/1,226.82 = 493.89/x
  3. Step 3: Cross multiply
    819.51x = 1,226.82 × 493.89
  4. Step 4: Simplify right side
    819.51x = 605,914.13
  5. Step 5: Solve for x
    x = 605,914.13/819.51
  6. Step 6: Final answer
    x = 739.36

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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.