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Finding the Fourth Proportional to 596.13, 822.86 and 418.94

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Solution

The fourth proportional to 596.13, 822.86 and 418.94 is: 578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.13 : 822.86 = 418.94 : x
  2. Step 2: Convert to fraction form
    596.13/822.86 = 418.94/x
  3. Step 3: Cross multiply
    596.13x = 822.86 × 418.94
  4. Step 4: Simplify right side
    596.13x = 344,722.76
  5. Step 5: Solve for x
    x = 344,722.76/596.13
  6. Step 6: Final answer
    x = 578.27

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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.