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Finding the Fourth Proportional to 517.51, 774.73 and 311.46

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Solution

The fourth proportional to 517.51, 774.73 and 311.46 is: 466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.51 : 774.73 = 311.46 : x
  2. Step 2: Convert to fraction form
    517.51/774.73 = 311.46/x
  3. Step 3: Cross multiply
    517.51x = 774.73 × 311.46
  4. Step 4: Simplify right side
    517.51x = 241,299.25
  5. Step 5: Solve for x
    x = 241,299.25/517.51
  6. Step 6: Final answer
    x = 466.27

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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.