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Finding the Fourth Proportional to 894.44, 1,234.49 and 562.61

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Solution

The fourth proportional to 894.44, 1,234.49 and 562.61 is: 776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.44 : 1,234.49 = 562.61 : x
  2. Step 2: Convert to fraction form
    894.44/1,234.49 = 562.61/x
  3. Step 3: Cross multiply
    894.44x = 1,234.49 × 562.61
  4. Step 4: Simplify right side
    894.44x = 694,536.69
  5. Step 5: Solve for x
    x = 694,536.69/894.44
  6. Step 6: Final answer
    x = 776.50

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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.