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Finding the Fourth Proportional to 564.11, 776.82 and 481.19

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Solution

The fourth proportional to 564.11, 776.82 and 481.19 is: 662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.11 : 776.82 = 481.19 : x
  2. Step 2: Convert to fraction form
    564.11/776.82 = 481.19/x
  3. Step 3: Cross multiply
    564.11x = 776.82 × 481.19
  4. Step 4: Simplify right side
    564.11x = 373,795.94
  5. Step 5: Solve for x
    x = 373,795.94/564.11
  6. Step 6: Final answer
    x = 662.63

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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.