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Finding the Fourth Proportional to 517.43, 776.30 and 229.07

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Solution

The fourth proportional to 517.43, 776.30 and 229.07 is: 343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.43 : 776.30 = 229.07 : x
  2. Step 2: Convert to fraction form
    517.43/776.30 = 229.07/x
  3. Step 3: Cross multiply
    517.43x = 776.30 × 229.07
  4. Step 4: Simplify right side
    517.43x = 177,827.84
  5. Step 5: Solve for x
    x = 177,827.84/517.43
  6. Step 6: Final answer
    x = 343.67

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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.