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Finding the Fourth Proportional to 596.20, 821.22 and 457.96

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Solution

The fourth proportional to 596.20, 821.22 and 457.96 is: 630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.20 : 821.22 = 457.96 : x
  2. Step 2: Convert to fraction form
    596.20/821.22 = 457.96/x
  3. Step 3: Cross multiply
    596.20x = 821.22 × 457.96
  4. Step 4: Simplify right side
    596.20x = 376,085.91
  5. Step 5: Solve for x
    x = 376,085.91/596.20
  6. Step 6: Final answer
    x = 630.80

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Double scale
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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.