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Finding the Fourth Proportional to 998.73, 1,497.89 and 268.35

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Solution

The fourth proportional to 998.73, 1,497.89 and 268.35 is: 402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.73 : 1,497.89 = 268.35 : x
  2. Step 2: Convert to fraction form
    998.73/1,497.89 = 268.35/x
  3. Step 3: Cross multiply
    998.73x = 1,497.89 × 268.35
  4. Step 4: Simplify right side
    998.73x = 401,953.84
  5. Step 5: Solve for x
    x = 401,953.84/998.73
  6. Step 6: Final answer
    x = 402.46

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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.