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Finding the Fourth Proportional to 596.48, 822.89 and 400.05

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Solution

The fourth proportional to 596.48, 822.89 and 400.05 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.48 : 822.89 = 400.05 : x
  2. Step 2: Convert to fraction form
    596.48/822.89 = 400.05/x
  3. Step 3: Cross multiply
    596.48x = 822.89 × 400.05
  4. Step 4: Simplify right side
    596.48x = 329,198.14
  5. Step 5: Solve for x
    x = 329,198.14/596.48
  6. Step 6: Final answer
    x = 551.91

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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.