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Finding the Fourth Proportional to 660.46, 991.36 and 331.63

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Solution

The fourth proportional to 660.46, 991.36 and 331.63 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.46 : 991.36 = 331.63 : x
  2. Step 2: Convert to fraction form
    660.46/991.36 = 331.63/x
  3. Step 3: Cross multiply
    660.46x = 991.36 × 331.63
  4. Step 4: Simplify right side
    660.46x = 328,764.72
  5. Step 5: Solve for x
    x = 328,764.72/660.46
  6. Step 6: Final answer
    x = 497.78

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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.