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Finding the Fourth Proportional to 517.60, 771.98 and 499.24

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Solution

The fourth proportional to 517.60, 771.98 and 499.24 is: 744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.60 : 771.98 = 499.24 : x
  2. Step 2: Convert to fraction form
    517.60/771.98 = 499.24/x
  3. Step 3: Cross multiply
    517.60x = 771.98 × 499.24
  4. Step 4: Simplify right side
    517.60x = 385,403.30
  5. Step 5: Solve for x
    x = 385,403.30/517.60
  6. Step 6: Final answer
    x = 744.60

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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.