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Finding the Fourth Proportional to 495.25, 682.97 and 401.86

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Solution

The fourth proportional to 495.25, 682.97 and 401.86 is: 554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.25 : 682.97 = 401.86 : x
  2. Step 2: Convert to fraction form
    495.25/682.97 = 401.86/x
  3. Step 3: Cross multiply
    495.25x = 682.97 × 401.86
  4. Step 4: Simplify right side
    495.25x = 274,457.17
  5. Step 5: Solve for x
    x = 274,457.17/495.25
  6. Step 6: Final answer
    x = 554.18

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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.