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Finding the Fourth Proportional to 506.25, 758.16 and 446.31

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Solution

The fourth proportional to 506.25, 758.16 and 446.31 is: 668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 758.16 = 446.31 : x
  2. Step 2: Convert to fraction form
    506.25/758.16 = 446.31/x
  3. Step 3: Cross multiply
    506.25x = 758.16 × 446.31
  4. Step 4: Simplify right side
    506.25x = 338,374.39
  5. Step 5: Solve for x
    x = 338,374.39/506.25
  6. Step 6: Final answer
    x = 668.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.