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Finding the Fourth Proportional to 475.70, 713.97 and 244.75

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Solution

The fourth proportional to 475.70, 713.97 and 244.75 is: 367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.70 : 713.97 = 244.75 : x
  2. Step 2: Convert to fraction form
    475.70/713.97 = 244.75/x
  3. Step 3: Cross multiply
    475.70x = 713.97 × 244.75
  4. Step 4: Simplify right side
    475.70x = 174,744.16
  5. Step 5: Solve for x
    x = 174,744.16/475.70
  6. Step 6: Final answer
    x = 367.34

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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.