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Finding the Fourth Proportional to 517.09, 775.73 and 309.22

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Solution

The fourth proportional to 517.09, 775.73 and 309.22 is: 463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.09 : 775.73 = 309.22 : x
  2. Step 2: Convert to fraction form
    517.09/775.73 = 309.22/x
  3. Step 3: Cross multiply
    517.09x = 775.73 × 309.22
  4. Step 4: Simplify right side
    517.09x = 239,871.23
  5. Step 5: Solve for x
    x = 239,871.23/517.09
  6. Step 6: Final answer
    x = 463.89

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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.