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Finding the Fourth Proportional to 874.26, 1,204.29 and 818.10

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Solution

The fourth proportional to 874.26, 1,204.29 and 818.10 is: 1,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,204.29 = 818.10 : x
  2. Step 2: Convert to fraction form
    874.26/1,204.29 = 818.10/x
  3. Step 3: Cross multiply
    874.26x = 1,204.29 × 818.10
  4. Step 4: Simplify right side
    874.26x = 985,229.65
  5. Step 5: Solve for x
    x = 985,229.65/874.26
  6. Step 6: Final answer
    x = 1,126.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.