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Finding the Fourth Proportional to 564.89, 845.79 and 441.41

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Solution

The fourth proportional to 564.89, 845.79 and 441.41 is: 660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.89 : 845.79 = 441.41 : x
  2. Step 2: Convert to fraction form
    564.89/845.79 = 441.41/x
  3. Step 3: Cross multiply
    564.89x = 845.79 × 441.41
  4. Step 4: Simplify right side
    564.89x = 373,334.28
  5. Step 5: Solve for x
    x = 373,334.28/564.89
  6. Step 6: Final answer
    x = 660.90

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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.