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Finding the Fourth Proportional to 495.00, 682.46 and 406.15

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Solution

The fourth proportional to 495.00, 682.46 and 406.15 is: 559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.00 : 682.46 = 406.15 : x
  2. Step 2: Convert to fraction form
    495.00/682.46 = 406.15/x
  3. Step 3: Cross multiply
    495.00x = 682.46 × 406.15
  4. Step 4: Simplify right side
    495.00x = 277,181.13
  5. Step 5: Solve for x
    x = 277,181.13/495.00
  6. Step 6: Final answer
    x = 559.97

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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.