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Finding the Fourth Proportional to 894.86, 1,234.09 and 579.81

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Solution

The fourth proportional to 894.86, 1,234.09 and 579.81 is: 799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.86 : 1,234.09 = 579.81 : x
  2. Step 2: Convert to fraction form
    894.86/1,234.09 = 579.81/x
  3. Step 3: Cross multiply
    894.86x = 1,234.09 × 579.81
  4. Step 4: Simplify right side
    894.86x = 715,537.76
  5. Step 5: Solve for x
    x = 715,537.76/894.86
  6. Step 6: Final answer
    x = 799.61

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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.