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Finding the Fourth Proportional to 613.68, 847 and 351.84

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Solution

The fourth proportional to 613.68, 847 and 351.84 is: 485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.68 : 847 = 351.84 : x
  2. Step 2: Convert to fraction form
    613.68/847 = 351.84/x
  3. Step 3: Cross multiply
    613.68x = 847 × 351.84
  4. Step 4: Simplify right side
    613.68x = 298,008.48
  5. Step 5: Solve for x
    x = 298,008.48/613.68
  6. Step 6: Final answer
    x = 485.61

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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.