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Finding the Fourth Proportional to 475.27, 709.49 and 405.56

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Solution

The fourth proportional to 475.27, 709.49 and 405.56 is: 605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.27 : 709.49 = 405.56 : x
  2. Step 2: Convert to fraction form
    475.27/709.49 = 405.56/x
  3. Step 3: Cross multiply
    475.27x = 709.49 × 405.56
  4. Step 4: Simplify right side
    475.27x = 287,739.28
  5. Step 5: Solve for x
    x = 287,739.28/475.27
  6. Step 6: Final answer
    x = 605.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.