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Finding the Fourth Proportional to 495.90, 682.43 and 440.01

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Solution

The fourth proportional to 495.90, 682.43 and 440.01 is: 605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.90 : 682.43 = 440.01 : x
  2. Step 2: Convert to fraction form
    495.90/682.43 = 440.01/x
  3. Step 3: Cross multiply
    495.90x = 682.43 × 440.01
  4. Step 4: Simplify right side
    495.90x = 300,273.82
  5. Step 5: Solve for x
    x = 300,273.82/495.90
  6. Step 6: Final answer
    x = 605.51

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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.