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Finding the Fourth Proportional to 874.66, 1,206.99 and 481.61

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Solution

The fourth proportional to 874.66, 1,206.99 and 481.61 is: 664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.66 : 1,206.99 = 481.61 : x
  2. Step 2: Convert to fraction form
    874.66/1,206.99 = 481.61/x
  3. Step 3: Cross multiply
    874.66x = 1,206.99 × 481.61
  4. Step 4: Simplify right side
    874.66x = 581,296.05
  5. Step 5: Solve for x
    x = 581,296.05/874.66
  6. Step 6: Final answer
    x = 664.60

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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.