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Finding the Fourth Proportional to 998.81, 1,497.76 and 305.56

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Solution

The fourth proportional to 998.81, 1,497.76 and 305.56 is: 458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.81 : 1,497.76 = 305.56 : x
  2. Step 2: Convert to fraction form
    998.81/1,497.76 = 305.56/x
  3. Step 3: Cross multiply
    998.81x = 1,497.76 × 305.56
  4. Step 4: Simplify right side
    998.81x = 457,654.78
  5. Step 5: Solve for x
    x = 457,654.78/998.81
  6. Step 6: Final answer
    x = 458.20

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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.