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Finding the Fourth Proportional to 596.64, 819.82 and 485.84

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Solution

The fourth proportional to 596.64, 819.82 and 485.84 is: 667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 819.82 = 485.84 : x
  2. Step 2: Convert to fraction form
    596.64/819.82 = 485.84/x
  3. Step 3: Cross multiply
    596.64x = 819.82 × 485.84
  4. Step 4: Simplify right side
    596.64x = 398,301.35
  5. Step 5: Solve for x
    x = 398,301.35/596.64
  6. Step 6: Final answer
    x = 667.57

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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.