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Finding the Fourth Proportional to 495.23, 682.84 and 401.69

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Solution

The fourth proportional to 495.23, 682.84 and 401.69 is: 553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.23 : 682.84 = 401.69 : x
  2. Step 2: Convert to fraction form
    495.23/682.84 = 401.69/x
  3. Step 3: Cross multiply
    495.23x = 682.84 × 401.69
  4. Step 4: Simplify right side
    495.23x = 274,287.59
  5. Step 5: Solve for x
    x = 274,287.59/495.23
  6. Step 6: Final answer
    x = 553.86

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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.