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Finding the Fourth Proportional to 516.62, 713.86 and 383.66

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Solution

The fourth proportional to 516.62, 713.86 and 383.66 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.62 : 713.86 = 383.66 : x
  2. Step 2: Convert to fraction form
    516.62/713.86 = 383.66/x
  3. Step 3: Cross multiply
    516.62x = 713.86 × 383.66
  4. Step 4: Simplify right side
    516.62x = 273,879.53
  5. Step 5: Solve for x
    x = 273,879.53/516.62
  6. Step 6: Final answer
    x = 530.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.