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Finding the Fourth Proportional to 605.07, 911.10 and 452.07

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Solution

The fourth proportional to 605.07, 911.10 and 452.07 is: 680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 911.10 = 452.07 : x
  2. Step 2: Convert to fraction form
    605.07/911.10 = 452.07/x
  3. Step 3: Cross multiply
    605.07x = 911.10 × 452.07
  4. Step 4: Simplify right side
    605.07x = 411,876.42
  5. Step 5: Solve for x
    x = 411,876.42/605.07
  6. Step 6: Final answer
    x = 680.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.