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Finding the Fourth Proportional to 517.28, 774.99 and 504.51

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Solution

The fourth proportional to 517.28, 774.99 and 504.51 is: 755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.28 : 774.99 = 504.51 : x
  2. Step 2: Convert to fraction form
    517.28/774.99 = 504.51/x
  3. Step 3: Cross multiply
    517.28x = 774.99 × 504.51
  4. Step 4: Simplify right side
    517.28x = 390,990.20
  5. Step 5: Solve for x
    x = 390,990.20/517.28
  6. Step 6: Final answer
    x = 755.87

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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.