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Finding the Fourth Proportional to 596.78, 822.34 and 456.90

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Solution

The fourth proportional to 596.78, 822.34 and 456.90 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.78 : 822.34 = 456.90 : x
  2. Step 2: Convert to fraction form
    596.78/822.34 = 456.90/x
  3. Step 3: Cross multiply
    596.78x = 822.34 × 456.90
  4. Step 4: Simplify right side
    596.78x = 375,727.15
  5. Step 5: Solve for x
    x = 375,727.15/596.78
  6. Step 6: Final answer
    x = 629.59

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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.