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Finding the Fourth Proportional to 518.44, 711.28 and 504.76

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Solution

The fourth proportional to 518.44, 711.28 and 504.76 is: 692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.44 : 711.28 = 504.76 : x
  2. Step 2: Convert to fraction form
    518.44/711.28 = 504.76/x
  3. Step 3: Cross multiply
    518.44x = 711.28 × 504.76
  4. Step 4: Simplify right side
    518.44x = 359,025.69
  5. Step 5: Solve for x
    x = 359,025.69/518.44
  6. Step 6: Final answer
    x = 692.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.