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Finding the Fourth Proportional to 468.27, 645.45 and 374.85

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Solution

The fourth proportional to 468.27, 645.45 and 374.85 is: 516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.27 : 645.45 = 374.85 : x
  2. Step 2: Convert to fraction form
    468.27/645.45 = 374.85/x
  3. Step 3: Cross multiply
    468.27x = 645.45 × 374.85
  4. Step 4: Simplify right side
    468.27x = 241,946.93
  5. Step 5: Solve for x
    x = 241,946.93/468.27
  6. Step 6: Final answer
    x = 516.68

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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.