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Finding the Fourth Proportional to 408.14, 567.20 and 403.89

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Solution

The fourth proportional to 408.14, 567.20 and 403.89 is: 561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 567.20 = 403.89 : x
  2. Step 2: Convert to fraction form
    408.14/567.20 = 403.89/x
  3. Step 3: Cross multiply
    408.14x = 567.20 × 403.89
  4. Step 4: Simplify right side
    408.14x = 229,085.29
  5. Step 5: Solve for x
    x = 229,085.29/408.14
  6. Step 6: Final answer
    x = 561.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.