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Finding the Fourth Proportional to 416.56, 571.78 and 398.74

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Solution

The fourth proportional to 416.56, 571.78 and 398.74 is: 547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 571.78 = 398.74 : x
  2. Step 2: Convert to fraction form
    416.56/571.78 = 398.74/x
  3. Step 3: Cross multiply
    416.56x = 571.78 × 398.74
  4. Step 4: Simplify right side
    416.56x = 227,991.56
  5. Step 5: Solve for x
    x = 227,991.56/416.56
  6. Step 6: Final answer
    x = 547.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.