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Finding the Fourth Proportional to 505.73, 758.25 and 408.35

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Solution

The fourth proportional to 505.73, 758.25 and 408.35 is: 612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.73 : 758.25 = 408.35 : x
  2. Step 2: Convert to fraction form
    505.73/758.25 = 408.35/x
  3. Step 3: Cross multiply
    505.73x = 758.25 × 408.35
  4. Step 4: Simplify right side
    505.73x = 309,627.60
  5. Step 5: Solve for x
    x = 309,627.60/505.73
  6. Step 6: Final answer
    x = 612.24

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Why These Related Problems?

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