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Finding the Fourth Proportional to 620.14, 929.80 and 331.78

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Solution

The fourth proportional to 620.14, 929.80 and 331.78 is: 497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.14 : 929.80 = 331.78 : x
  2. Step 2: Convert to fraction form
    620.14/929.80 = 331.78/x
  3. Step 3: Cross multiply
    620.14x = 929.80 × 331.78
  4. Step 4: Simplify right side
    620.14x = 308,489.04
  5. Step 5: Solve for x
    x = 308,489.04/620.14
  6. Step 6: Final answer
    x = 497.45

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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.