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Finding the Fourth Proportional to 496.63, 684.05 and 493.90

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Solution

The fourth proportional to 496.63, 684.05 and 493.90 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.63 : 684.05 = 493.90 : x
  2. Step 2: Convert to fraction form
    496.63/684.05 = 493.90/x
  3. Step 3: Cross multiply
    496.63x = 684.05 × 493.90
  4. Step 4: Simplify right side
    496.63x = 337,848.12
  5. Step 5: Solve for x
    x = 337,848.12/496.63
  6. Step 6: Final answer
    x = 680.28

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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.