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Finding the Fourth Proportional to 610.27, 914.43 and 447.19

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Solution

The fourth proportional to 610.27, 914.43 and 447.19 is: 670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.27 : 914.43 = 447.19 : x
  2. Step 2: Convert to fraction form
    610.27/914.43 = 447.19/x
  3. Step 3: Cross multiply
    610.27x = 914.43 × 447.19
  4. Step 4: Simplify right side
    610.27x = 408,923.95
  5. Step 5: Solve for x
    x = 408,923.95/610.27
  6. Step 6: Final answer
    x = 670.07

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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.