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Finding the Fourth Proportional to 473.66, 711.85 and 343.86

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Solution

The fourth proportional to 473.66, 711.85 and 343.86 is: 516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.66 : 711.85 = 343.86 : x
  2. Step 2: Convert to fraction form
    473.66/711.85 = 343.86/x
  3. Step 3: Cross multiply
    473.66x = 711.85 × 343.86
  4. Step 4: Simplify right side
    473.66x = 244,776.74
  5. Step 5: Solve for x
    x = 244,776.74/473.66
  6. Step 6: Final answer
    x = 516.78

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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.