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Finding the Fourth Proportional to 517.20, 771.79 and 462.50

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Solution

The fourth proportional to 517.20, 771.79 and 462.50 is: 690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.20 : 771.79 = 462.50 : x
  2. Step 2: Convert to fraction form
    517.20/771.79 = 462.50/x
  3. Step 3: Cross multiply
    517.20x = 771.79 × 462.50
  4. Step 4: Simplify right side
    517.20x = 356,952.88
  5. Step 5: Solve for x
    x = 356,952.88/517.20
  6. Step 6: Final answer
    x = 690.16

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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.