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Finding the Fourth Proportional to 466.74, 645.84 and 408.69

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Solution

The fourth proportional to 466.74, 645.84 and 408.69 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.74 : 645.84 = 408.69 : x
  2. Step 2: Convert to fraction form
    466.74/645.84 = 408.69/x
  3. Step 3: Cross multiply
    466.74x = 645.84 × 408.69
  4. Step 4: Simplify right side
    466.74x = 263,948.35
  5. Step 5: Solve for x
    x = 263,948.35/466.74
  6. Step 6: Final answer
    x = 565.51

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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.