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Finding the Fourth Proportional to 517.67, 775.39 and 322.72

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Solution

The fourth proportional to 517.67, 775.39 and 322.72 is: 483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.67 : 775.39 = 322.72 : x
  2. Step 2: Convert to fraction form
    517.67/775.39 = 322.72/x
  3. Step 3: Cross multiply
    517.67x = 775.39 × 322.72
  4. Step 4: Simplify right side
    517.67x = 250,231.72
  5. Step 5: Solve for x
    x = 250,231.72/517.67
  6. Step 6: Final answer
    x = 483.38

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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.