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Finding the Fourth Proportional to 656.78, 984 and 382.64

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Solution

The fourth proportional to 656.78, 984 and 382.64 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 984 = 382.64 : x
  2. Step 2: Convert to fraction form
    656.78/984 = 382.64/x
  3. Step 3: Cross multiply
    656.78x = 984 × 382.64
  4. Step 4: Simplify right side
    656.78x = 376,517.76
  5. Step 5: Solve for x
    x = 376,517.76/656.78
  6. Step 6: Final answer
    x = 573.28

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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.