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Finding the Fourth Proportional to 495.42, 679.23 and 486.64

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Solution

The fourth proportional to 495.42, 679.23 and 486.64 is: 667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 679.23 = 486.64 : x
  2. Step 2: Convert to fraction form
    495.42/679.23 = 486.64/x
  3. Step 3: Cross multiply
    495.42x = 679.23 × 486.64
  4. Step 4: Simplify right side
    495.42x = 330,540.49
  5. Step 5: Solve for x
    x = 330,540.49/495.42
  6. Step 6: Final answer
    x = 667.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.