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Finding the Fourth Proportional to 656.50, 984.78 and 331.78

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Solution

The fourth proportional to 656.50, 984.78 and 331.78 is: 497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.50 : 984.78 = 331.78 : x
  2. Step 2: Convert to fraction form
    656.50/984.78 = 331.78/x
  3. Step 3: Cross multiply
    656.50x = 984.78 × 331.78
  4. Step 4: Simplify right side
    656.50x = 326,730.31
  5. Step 5: Solve for x
    x = 326,730.31/656.50
  6. Step 6: Final answer
    x = 497.69

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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.