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Finding the Fourth Proportional to 518.54, 771.69 and 499.10

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Solution

The fourth proportional to 518.54, 771.69 and 499.10 is: 742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.54 : 771.69 = 499.10 : x
  2. Step 2: Convert to fraction form
    518.54/771.69 = 499.10/x
  3. Step 3: Cross multiply
    518.54x = 771.69 × 499.10
  4. Step 4: Simplify right side
    518.54x = 385,148.49
  5. Step 5: Solve for x
    x = 385,148.49/518.54
  6. Step 6: Final answer
    x = 742.76

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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.