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Finding the Fourth Proportional to 874.66, 1,310.91 and 441.94

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Solution

The fourth proportional to 874.66, 1,310.91 and 441.94 is: 662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.66 : 1,310.91 = 441.94 : x
  2. Step 2: Convert to fraction form
    874.66/1,310.91 = 441.94/x
  3. Step 3: Cross multiply
    874.66x = 1,310.91 × 441.94
  4. Step 4: Simplify right side
    874.66x = 579,343.57
  5. Step 5: Solve for x
    x = 579,343.57/874.66
  6. Step 6: Final answer
    x = 662.36

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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.