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Finding the Fourth Proportional to 608.46, 911.76 and 453.66

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Solution

The fourth proportional to 608.46, 911.76 and 453.66 is: 679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.46 : 911.76 = 453.66 : x
  2. Step 2: Convert to fraction form
    608.46/911.76 = 453.66/x
  3. Step 3: Cross multiply
    608.46x = 911.76 × 453.66
  4. Step 4: Simplify right side
    608.46x = 413,629.04
  5. Step 5: Solve for x
    x = 413,629.04/608.46
  6. Step 6: Final answer
    x = 679.80

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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.