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Finding the Fourth Proportional to 494.01, 682.97 and 432.45

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Solution

The fourth proportional to 494.01, 682.97 and 432.45 is: 597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.01 : 682.97 = 432.45 : x
  2. Step 2: Convert to fraction form
    494.01/682.97 = 432.45/x
  3. Step 3: Cross multiply
    494.01x = 682.97 × 432.45
  4. Step 4: Simplify right side
    494.01x = 295,348.21
  5. Step 5: Solve for x
    x = 295,348.21/494.01
  6. Step 6: Final answer
    x = 597.86

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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.