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Finding the Fourth Proportional to 408.69, 564.71 and 335.25

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Solution

The fourth proportional to 408.69, 564.71 and 335.25 is: 463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.69 : 564.71 = 335.25 : x
  2. Step 2: Convert to fraction form
    408.69/564.71 = 335.25/x
  3. Step 3: Cross multiply
    408.69x = 564.71 × 335.25
  4. Step 4: Simplify right side
    408.69x = 189,317.35
  5. Step 5: Solve for x
    x = 189,317.35/408.69
  6. Step 6: Final answer
    x = 463.23

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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.