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Finding the Fourth Proportional to 495.10, 682.68 and 421.66

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Solution

The fourth proportional to 495.10, 682.68 and 421.66 is: 581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.10 : 682.68 = 421.66 : x
  2. Step 2: Convert to fraction form
    495.10/682.68 = 421.66/x
  3. Step 3: Cross multiply
    495.10x = 682.68 × 421.66
  4. Step 4: Simplify right side
    495.10x = 287,858.85
  5. Step 5: Solve for x
    x = 287,858.85/495.10
  6. Step 6: Final answer
    x = 581.42

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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.