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Finding the Fourth Proportional to 505.22, 758.07 and 322.97

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Solution

The fourth proportional to 505.22, 758.07 and 322.97 is: 484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 758.07 = 322.97 : x
  2. Step 2: Convert to fraction form
    505.22/758.07 = 322.97/x
  3. Step 3: Cross multiply
    505.22x = 758.07 × 322.97
  4. Step 4: Simplify right side
    505.22x = 244,830.08
  5. Step 5: Solve for x
    x = 244,830.08/505.22
  6. Step 6: Final answer
    x = 484.61

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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.