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Finding the Fourth Proportional to 447.34, 670.02 and 343.86

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Solution

The fourth proportional to 447.34, 670.02 and 343.86 is: 515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.34 : 670.02 = 343.86 : x
  2. Step 2: Convert to fraction form
    447.34/670.02 = 343.86/x
  3. Step 3: Cross multiply
    447.34x = 670.02 × 343.86
  4. Step 4: Simplify right side
    447.34x = 230,393.08
  5. Step 5: Solve for x
    x = 230,393.08/447.34
  6. Step 6: Final answer
    x = 515.03

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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.