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Finding the Fourth Proportional to 894.86, 1,234.89 and 491.09

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Solution

The fourth proportional to 894.86, 1,234.89 and 491.09 is: 677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.86 : 1,234.89 = 491.09 : x
  2. Step 2: Convert to fraction form
    894.86/1,234.89 = 491.09/x
  3. Step 3: Cross multiply
    894.86x = 1,234.89 × 491.09
  4. Step 4: Simplify right side
    894.86x = 606,435.96
  5. Step 5: Solve for x
    x = 606,435.96/894.86
  6. Step 6: Final answer
    x = 677.69

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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.