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Finding the Fourth Proportional to 408.88, 564.77 and 385.80

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Solution

The fourth proportional to 408.88, 564.77 and 385.80 is: 532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.88 : 564.77 = 385.80 : x
  2. Step 2: Convert to fraction form
    408.88/564.77 = 385.80/x
  3. Step 3: Cross multiply
    408.88x = 564.77 × 385.80
  4. Step 4: Simplify right side
    408.88x = 217,887.11
  5. Step 5: Solve for x
    x = 217,887.11/408.88
  6. Step 6: Final answer
    x = 532.89

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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.