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Finding the Fourth Proportional to 495.03, 682.89 and 459.85

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Solution

The fourth proportional to 495.03, 682.89 and 459.85 is: 634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.03 : 682.89 = 459.85 : x
  2. Step 2: Convert to fraction form
    495.03/682.89 = 459.85/x
  3. Step 3: Cross multiply
    495.03x = 682.89 × 459.85
  4. Step 4: Simplify right side
    495.03x = 314,026.97
  5. Step 5: Solve for x
    x = 314,026.97/495.03
  6. Step 6: Final answer
    x = 634.36

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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.