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Finding the Fourth Proportional to 596.49, 822.78 and 375.05

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Solution

The fourth proportional to 596.49, 822.78 and 375.05 is: 517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.49 : 822.78 = 375.05 : x
  2. Step 2: Convert to fraction form
    596.49/822.78 = 375.05/x
  3. Step 3: Cross multiply
    596.49x = 822.78 × 375.05
  4. Step 4: Simplify right side
    596.49x = 308,579.53
  5. Step 5: Solve for x
    x = 308,579.53/596.49
  6. Step 6: Final answer
    x = 517.33

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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.