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Finding the Fourth Proportional to 613.60, 845.76 and 496.96

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Solution

The fourth proportional to 613.60, 845.76 and 496.96 is: 684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.60 : 845.76 = 496.96 : x
  2. Step 2: Convert to fraction form
    613.60/845.76 = 496.96/x
  3. Step 3: Cross multiply
    613.60x = 845.76 × 496.96
  4. Step 4: Simplify right side
    613.60x = 420,308.89
  5. Step 5: Solve for x
    x = 420,308.89/613.60
  6. Step 6: Final answer
    x = 684.99

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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.