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Finding the Fourth Proportional to 874.23, 1,310.27 and 411.38

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Solution

The fourth proportional to 874.23, 1,310.27 and 411.38 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.23 : 1,310.27 = 411.38 : x
  2. Step 2: Convert to fraction form
    874.23/1,310.27 = 411.38/x
  3. Step 3: Cross multiply
    874.23x = 1,310.27 × 411.38
  4. Step 4: Simplify right side
    874.23x = 539,020.09
  5. Step 5: Solve for x
    x = 539,020.09/874.23
  6. Step 6: Final answer
    x = 616.57

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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.