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Finding the Fourth Proportional to 506.16, 754.38 and 408.24

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Solution

The fourth proportional to 506.16, 754.38 and 408.24 is: 608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 754.38 = 408.24 : x
  2. Step 2: Convert to fraction form
    506.16/754.38 = 408.24/x
  3. Step 3: Cross multiply
    506.16x = 754.38 × 408.24
  4. Step 4: Simplify right side
    506.16x = 307,968.09
  5. Step 5: Solve for x
    x = 307,968.09/506.16
  6. Step 6: Final answer
    x = 608.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.