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Finding the Fourth Proportional to 578.79, 799.11 and 475.11

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Solution

The fourth proportional to 578.79, 799.11 and 475.11 is: 655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.79 : 799.11 = 475.11 : x
  2. Step 2: Convert to fraction form
    578.79/799.11 = 475.11/x
  3. Step 3: Cross multiply
    578.79x = 799.11 × 475.11
  4. Step 4: Simplify right side
    578.79x = 379,665.15
  5. Step 5: Solve for x
    x = 379,665.15/578.79
  6. Step 6: Final answer
    x = 655.96

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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.