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Finding the Fourth Proportional to 414.76, 567.29 and 408.04

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Solution

The fourth proportional to 414.76, 567.29 and 408.04 is: 558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 567.29 = 408.04 : x
  2. Step 2: Convert to fraction form
    414.76/567.29 = 408.04/x
  3. Step 3: Cross multiply
    414.76x = 567.29 × 408.04
  4. Step 4: Simplify right side
    414.76x = 231,477.01
  5. Step 5: Solve for x
    x = 231,477.01/414.76
  6. Step 6: Final answer
    x = 558.10

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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.