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Finding the Fourth Proportional to 497.89, 682.10 and 479.43

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Solution

The fourth proportional to 497.89, 682.10 and 479.43 is: 656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.89 : 682.10 = 479.43 : x
  2. Step 2: Convert to fraction form
    497.89/682.10 = 479.43/x
  3. Step 3: Cross multiply
    497.89x = 682.10 × 479.43
  4. Step 4: Simplify right side
    497.89x = 327,019.20
  5. Step 5: Solve for x
    x = 327,019.20/497.89
  6. Step 6: Final answer
    x = 656.81

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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.