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Finding the Fourth Proportional to 656.20, 984.80 and 331.39

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Solution

The fourth proportional to 656.20, 984.80 and 331.39 is: 497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 984.80 = 331.39 : x
  2. Step 2: Convert to fraction form
    656.20/984.80 = 331.39/x
  3. Step 3: Cross multiply
    656.20x = 984.80 × 331.39
  4. Step 4: Simplify right side
    656.20x = 326,352.87
  5. Step 5: Solve for x
    x = 326,352.87/656.20
  6. Step 6: Final answer
    x = 497.34

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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.