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Finding the Fourth Proportional to 516.27, 776.08 and 414.67

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Solution

The fourth proportional to 516.27, 776.08 and 414.67 is: 623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.27 : 776.08 = 414.67 : x
  2. Step 2: Convert to fraction form
    516.27/776.08 = 414.67/x
  3. Step 3: Cross multiply
    516.27x = 776.08 × 414.67
  4. Step 4: Simplify right side
    516.27x = 321,817.13
  5. Step 5: Solve for x
    x = 321,817.13/516.27
  6. Step 6: Final answer
    x = 623.35

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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.