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Finding the Fourth Proportional to 517.53, 775.29 and 308.64

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Solution

The fourth proportional to 517.53, 775.29 and 308.64 is: 462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.53 : 775.29 = 308.64 : x
  2. Step 2: Convert to fraction form
    517.53/775.29 = 308.64/x
  3. Step 3: Cross multiply
    517.53x = 775.29 × 308.64
  4. Step 4: Simplify right side
    517.53x = 239,285.51
  5. Step 5: Solve for x
    x = 239,285.51/517.53
  6. Step 6: Final answer
    x = 462.36

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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.