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Finding the Fourth Proportional to 656.30, 984.04 and 396.14

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Solution

The fourth proportional to 656.30, 984.04 and 396.14 is: 593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.30 : 984.04 = 396.14 : x
  2. Step 2: Convert to fraction form
    656.30/984.04 = 396.14/x
  3. Step 3: Cross multiply
    656.30x = 984.04 × 396.14
  4. Step 4: Simplify right side
    656.30x = 389,811.70
  5. Step 5: Solve for x
    x = 389,811.70/656.30
  6. Step 6: Final answer
    x = 593.96

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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.