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Finding the Fourth Proportional to 475.85, 713.78 and 129.19

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Solution

The fourth proportional to 475.85, 713.78 and 129.19 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.85 : 713.78 = 129.19 : x
  2. Step 2: Convert to fraction form
    475.85/713.78 = 129.19/x
  3. Step 3: Cross multiply
    475.85x = 713.78 × 129.19
  4. Step 4: Simplify right side
    475.85x = 92,210.62
  5. Step 5: Solve for x
    x = 92,210.62/475.85
  6. Step 6: Final answer
    x = 193.78

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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.