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Finding the Fourth Proportional to 516.88, 771.62 and 498.88

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Solution

The fourth proportional to 516.88, 771.62 and 498.88 is: 744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 771.62 = 498.88 : x
  2. Step 2: Convert to fraction form
    516.88/771.62 = 498.88/x
  3. Step 3: Cross multiply
    516.88x = 771.62 × 498.88
  4. Step 4: Simplify right side
    516.88x = 384,945.79
  5. Step 5: Solve for x
    x = 384,945.79/516.88
  6. Step 6: Final answer
    x = 744.75

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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.