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Finding the Fourth Proportional to 475.94, 714.33 and 344.29

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Solution

The fourth proportional to 475.94, 714.33 and 344.29 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.94 : 714.33 = 344.29 : x
  2. Step 2: Convert to fraction form
    475.94/714.33 = 344.29/x
  3. Step 3: Cross multiply
    475.94x = 714.33 × 344.29
  4. Step 4: Simplify right side
    475.94x = 245,936.68
  5. Step 5: Solve for x
    x = 245,936.68/475.94
  6. Step 6: Final answer
    x = 516.74

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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.