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Finding the Fourth Proportional to 411.79, 564.92 and 401.03

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Solution

The fourth proportional to 411.79, 564.92 and 401.03 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.79 : 564.92 = 401.03 : x
  2. Step 2: Convert to fraction form
    411.79/564.92 = 401.03/x
  3. Step 3: Cross multiply
    411.79x = 564.92 × 401.03
  4. Step 4: Simplify right side
    411.79x = 226,549.87
  5. Step 5: Solve for x
    x = 226,549.87/411.79
  6. Step 6: Final answer
    x = 550.16

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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.