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Finding the Fourth Proportional to 564.98, 779.75 and 408.11

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Solution

The fourth proportional to 564.98, 779.75 and 408.11 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.98 : 779.75 = 408.11 : x
  2. Step 2: Convert to fraction form
    564.98/779.75 = 408.11/x
  3. Step 3: Cross multiply
    564.98x = 779.75 × 408.11
  4. Step 4: Simplify right side
    564.98x = 318,227.09
  5. Step 5: Solve for x
    x = 318,227.09/564.98
  6. Step 6: Final answer
    x = 563.26

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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.