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Finding the Fourth Proportional to 416.71, 574.59 and 391.60

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Solution

The fourth proportional to 416.71, 574.59 and 391.60 is: 539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.71 : 574.59 = 391.60 : x
  2. Step 2: Convert to fraction form
    416.71/574.59 = 391.60/x
  3. Step 3: Cross multiply
    416.71x = 574.59 × 391.60
  4. Step 4: Simplify right side
    416.71x = 225,009.44
  5. Step 5: Solve for x
    x = 225,009.44/416.71
  6. Step 6: Final answer
    x = 539.97

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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.