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Finding the Fourth Proportional to 635.26, 875.91 and 495.22

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Solution

The fourth proportional to 635.26, 875.91 and 495.22 is: 682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.26 : 875.91 = 495.22 : x
  2. Step 2: Convert to fraction form
    635.26/875.91 = 495.22/x
  3. Step 3: Cross multiply
    635.26x = 875.91 × 495.22
  4. Step 4: Simplify right side
    635.26x = 433,768.15
  5. Step 5: Solve for x
    x = 433,768.15/635.26
  6. Step 6: Final answer
    x = 682.82

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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.