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Finding the Fourth Proportional to 656.88, 984.84 and 245.98

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Solution

The fourth proportional to 656.88, 984.84 and 245.98 is: 368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.88 : 984.84 = 245.98 : x
  2. Step 2: Convert to fraction form
    656.88/984.84 = 245.98/x
  3. Step 3: Cross multiply
    656.88x = 984.84 × 245.98
  4. Step 4: Simplify right side
    656.88x = 242,250.94
  5. Step 5: Solve for x
    x = 242,250.94/656.88
  6. Step 6: Final answer
    x = 368.79

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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.