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Finding the Fourth Proportional to 608.60, 911.81 and 364.65

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Solution

The fourth proportional to 608.60, 911.81 and 364.65 is: 546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.60 : 911.81 = 364.65 : x
  2. Step 2: Convert to fraction form
    608.60/911.81 = 364.65/x
  3. Step 3: Cross multiply
    608.60x = 911.81 × 364.65
  4. Step 4: Simplify right side
    608.60x = 332,489.69
  5. Step 5: Solve for x
    x = 332,489.69/608.60
  6. Step 6: Final answer
    x = 546.32

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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.