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Finding the Fourth Proportional to 874.27, 1,310.92 and 405.23

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Solution

The fourth proportional to 874.27, 1,310.92 and 405.23 is: 607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.27 : 1,310.92 = 405.23 : x
  2. Step 2: Convert to fraction form
    874.27/1,310.92 = 405.23/x
  3. Step 3: Cross multiply
    874.27x = 1,310.92 × 405.23
  4. Step 4: Simplify right side
    874.27x = 531,224.11
  5. Step 5: Solve for x
    x = 531,224.11/874.27
  6. Step 6: Final answer
    x = 607.62

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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.