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Finding the Fourth Proportional to 416.21, 570.27 and 411.09

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Solution

The fourth proportional to 416.21, 570.27 and 411.09 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.21 : 570.27 = 411.09 : x
  2. Step 2: Convert to fraction form
    416.21/570.27 = 411.09/x
  3. Step 3: Cross multiply
    416.21x = 570.27 × 411.09
  4. Step 4: Simplify right side
    416.21x = 234,430.24
  5. Step 5: Solve for x
    x = 234,430.24/416.21
  6. Step 6: Final answer
    x = 563.25

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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.