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Finding the Fourth Proportional to 427.50, 591.17 and 408.16

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Solution

The fourth proportional to 427.50, 591.17 and 408.16 is: 564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 591.17 = 408.16 : x
  2. Step 2: Convert to fraction form
    427.50/591.17 = 408.16/x
  3. Step 3: Cross multiply
    427.50x = 591.17 × 408.16
  4. Step 4: Simplify right side
    427.50x = 241,290.65
  5. Step 5: Solve for x
    x = 241,290.65/427.50
  6. Step 6: Final answer
    x = 564.42

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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.