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Finding the Fourth Proportional to 517.40, 771.20 and 488.24

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Solution

The fourth proportional to 517.40, 771.20 and 488.24 is: 727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 771.20 = 488.24 : x
  2. Step 2: Convert to fraction form
    517.40/771.20 = 488.24/x
  3. Step 3: Cross multiply
    517.40x = 771.20 × 488.24
  4. Step 4: Simplify right side
    517.40x = 376,530.69
  5. Step 5: Solve for x
    x = 376,530.69/517.40
  6. Step 6: Final answer
    x = 727.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.